Mathematics › Inverse Trigonometric Functions
Inverse Trigonometric Functions Questions
245 questions across 7 subtopics — with step-by-step solutions.
General ( General, Domain, Range & Graph)(43)
- , then | Mathematics | TestHub
- If , then is equal to | Mathematics | TestHub
- If then a value of is | Mathematics | TestHub
- A value of is | Mathematics | TestHub
- The principal value ofis | Mathematics | TestHub
- If, thenis equal to | Mathematics | TestHub
- Ifwhere the inverse trigonometric function... | Mathematics | TestHub
- All satisfying the inequality 0 , lie in t... | Mathematics | TestHub
- The number of real roots of the equationis: | Mathematics | TestHub
- Letand. Then a value ofis | Mathematics | TestHub
- The value ofis equal to | Mathematics | TestHub
- Ifand, thenis equal to | Mathematics | TestHub
- Given that the inverse trigonometric funct... | Mathematics | TestHub
- Considering only the principal values of t... | Mathematics | TestHub
- If for some and , then is_______. | Mathematics | TestHub
- If , then the expression is equal to : | Mathematics | TestHub
- Considering the principal values of the in... | Mathematics | TestHub
- Using the principal values of the inverse... | Mathematics | TestHub
- Number of common points for the curves y=\... | Mathematics | TestHub
- If \sin ^{-1}\left(\sin \frac{33 \pi}{7}\r... | Mathematics | TestHub
- The number of solutions of the equation \l... | Mathematics | TestHub
- The number of Real solutions of \cos ^{-1}... | Mathematics | TestHub
- The number of solutions for the equation \... | Mathematics | TestHub
- If \sin ^{-1} x+\sin ^{-1} y+\sin ^{-1} z=... | Mathematics | TestHub
- A value of satisfying the equation is: | Mathematics | TestHub
- If \cos ^{-1} x+\cos ^{-1} y+\cos ^{-1} z=... | Mathematics | TestHub
- The number of solutions of the equation \s... | Mathematics | TestHub
- If \cos ^{-1} x+\cos ^{-1} y+\cos ^{-1} z=... | Mathematics | TestHub
- Number of common points for the curves y=\... | Mathematics | TestHub
- If and , then the number of ordered pairs... | Mathematics | TestHub
- For x∈[-1,1], find respectively the least... | Mathematics | TestHub
- A continuous even periodic function with p... | Mathematics | TestHub
- For which a does ax²+ have a real solution? | Mathematics | TestHub
- Find the range of f(x)=, where {x}=x-⌊x⌋ i... | Mathematics | TestHub
- Find the sum of real solutions to 2. | Mathematics | TestHub
- What is the domain of f? | Mathematics | TestHub
- If \alpha is real and f(\alpha)=\ln \left(... | Mathematics | TestHub
- What is the range of f(x)=2, for real x≠1? | Mathematics | TestHub
- If n is a nonnegative integer, solve [(x-1... | Mathematics | TestHub
- If its range is (a, b) , find b / a . | Mathematics | TestHub
- In the first quadrant, find the area under... | Mathematics | TestHub
- If the domain of f(x)= is [a,b], find a+2b. | Mathematics | TestHub
- What is the range of f? | Mathematics | TestHub
Identities, eqations and inequations involving ITF(47)
- , then is equal to : | Mathematics | TestHub
- Match List I with List II and select the c... | Mathematics | TestHub
- A possible value ofis: | Mathematics | TestHub
- Letand. If, thenis equal to _______. | Mathematics | TestHub
- is equal to ______. | Mathematics | TestHub
- If the sum of all the solutions of,, is, t... | Mathematics | TestHub
- For, the number of solutions of the equati... | Mathematics | TestHub
- Letare co-prime natural numbers) be a solu... | Mathematics | TestHub
- The number of solutions of the equation \t... | Mathematics | TestHub
- If are natural numbers such that , then th... | Mathematics | TestHub
- Solution of 3\left(\cot ^{-1} x\right)^{2}... | Mathematics | TestHub
- If \sin ^{-1}\left(\sin \left(\frac{2 x^{2... | Mathematics | TestHub
- If the equation \sin ^{-1}\left(x^{2}+x+1\... | Mathematics | TestHub
- Let . The absolute value of x that satisfi... | Mathematics | TestHub
- The number of ordered pairs (x, y) satisfy... | Mathematics | TestHub
- The number of solutions of the equation \t... | Mathematics | TestHub
- The number of solutions of the equation \s... | Mathematics | TestHub
- If \cot ^{-1}\left(\frac{n}{\pi}\right)>\f... | Mathematics | TestHub
- The value of \begin{aligned} & \sin^{-1}\l... | Mathematics | TestHub
- \sin ^{-1}(\sin 5)>x^{2}-4 x holds if | Mathematics | TestHub
- The value of ' a ' for which a x^{2}+\sin... | Mathematics | TestHub
- If and is a function that satisfies and fo... | Mathematics | TestHub
- If 0<x<1 , the number of solutions of the... | Mathematics | TestHub
- The number of real solutions to the equati... | Mathematics | TestHub
- The number of solutions of the equation \s... | Mathematics | TestHub
- The integer value of x satisfying the equa... | Mathematics | TestHub
- Consider the equation \tan^{-1}\left(\frac... | Mathematics | TestHub
- Match the following expressions/conditions... | Mathematics | TestHub
- The number of real solutions to the equati... | Mathematics | TestHub
- How many real solutions has ()²+()²=5? | Mathematics | TestHub
- Solve . | Mathematics | TestHub
- Match List I to List II. List I: (A) If \m... | Mathematics | TestHub
- What is the complete set of a for which (1... | Mathematics | TestHub
- Match List I to every applicable item in L... | Mathematics | TestHub
- For 0<\mathrm{x}<1 , which expressions equ... | Mathematics | TestHub
- If (x-1)\left(x^{2}+1\right)>0 , evaluate... | Mathematics | TestHub
- Which identities are true? | Mathematics | TestHub
- If 2, which listed value of x satisfies th... | Mathematics | TestHub
- In (A)-(C), [z] denotes the floor of z. Ma... | Mathematics | TestHub
- Solve \cos ^{-1}\left(6 x /\left(1+9 x^{2}... | Mathematics | TestHub
- Which a allow simultaneous solutions of (1... | Mathematics | TestHub
- If , which listed pair can work? Assume bo... | Mathematics | TestHub
- For an integral value of a, which ordered... | Mathematics | TestHub
- For which integral values of \lambda does... | Mathematics | TestHub
- Which listed interval is the full maximal... | Mathematics | TestHub
- If , find k. | Mathematics | TestHub
- Which values of x satisfy \sin ^{-1} x+\si... | Mathematics | TestHub
Miscellaneous/Mixed(4)
Properties of ITF(48)
- The trigonometric equation a has a solutio... | Mathematics | TestHub
- If , then is equal to | Mathematics | TestHub
- Let , where . Then, the value of is | Mathematics | TestHub
- The value ofis | Mathematics | TestHub
- Statement I: The equation has a solution f... | Mathematics | TestHub
- Ifthenis equal to : | Mathematics | TestHub
- Ifthenatis | Mathematics | TestHub
- is equal to : | Mathematics | TestHub
- Ifthen the value ofis | Mathematics | TestHub
- The set of all values offor which, is the... | Mathematics | TestHub
- Ifand, then a value ofis | Mathematics | TestHub
- For, let the solutions of the equationbean... | Mathematics | TestHub
- Practice Question | Mathematics | TestHub
- Let. Ifdenotes the number of elements inth... | Mathematics | TestHub
- The integral is equal to | Mathematics | TestHub
- Let the inverse trigonometric functions ta... | Mathematics | TestHub
- The value of | Mathematics | TestHub
- If x \geq 1 , then 2\operatorname{tan}^{-1... | Mathematics | TestHub
- Least value of n for which (n-2) x^{2}+8 x... | Mathematics | TestHub
- If \mathrm{x}, \mathrm{y}, \mathrm{z} are... | Mathematics | TestHub
- The value of \sin \left(2 \tan ^{-1} \frac... | Mathematics | TestHub
- Given 0 \leq x \leq \frac{1}{2} then the v... | Mathematics | TestHub
- \operatorname{Cos}^{-1} \operatorname{Cos}... | Mathematics | TestHub
- Where a and b are in their lowest form, th... | Mathematics | TestHub
- The number of solutions of equation \opera... | Mathematics | TestHub
- If 0<x<1 , the number of solutions of the... | Mathematics | TestHub
- The number of real solutions of \operatorn... | Mathematics | TestHub
- If \operatorname{Sin}^{-1}\left(x-\frac{x^... | Mathematics | TestHub
- Let x be an integer. If \sin^{-1}(x^2-6x+8... | Mathematics | TestHub
- The range of the function f(x) = \sec^{-1}... | Mathematics | TestHub
- If x \in \left(\frac{3\pi}{2}, 2\pi\right)... | Mathematics | TestHub
- For f(x)=\sin ^{-1} x+\cos ^{-1} x on its... | Mathematics | TestHub
- Which expressions are rational numbers? | Mathematics | TestHub
- If X=, with cos , find sin X. | Mathematics | TestHub
- If \lambda=\min \mathrm{A} and \mu=\max \m... | Mathematics | TestHub
- How many solutions does \sin ^{-1}(\sin 6... | Mathematics | TestHub
- If , with α excluding the source values ,... | Mathematics | TestHub
- Which interval contains exactly all attain... | Mathematics | TestHub
- What is the maximum value of B ? | Mathematics | TestHub
- The number of real values of satisfying th... | Mathematics | TestHub
- For which listed set of a does have at lea... | Mathematics | TestHub
- Let \mathrm{t}_{1} be \left(\sin ^{-1} \ma... | Mathematics | TestHub
- Let , , . Which ordering holds? | Mathematics | TestHub
- Match the following. List I: (A) \sin \lef... | Mathematics | TestHub
- If y=, with , find sin y. | Mathematics | TestHub
- Let f_{1}(x)=\sin ^{-1}\left(\cos \left(\s... | Mathematics | TestHub
- Let x= and y=. Which identity holds? | Mathematics | TestHub
- Match List I to List II. List I: (A) Absol... | Mathematics | TestHub
Sum And Difference Of Angles(41)
- The value of is | Mathematics | TestHub
- The greatest and least values of are respe... | Mathematics | TestHub
- Match the following. List – I List – II(A)... | Mathematics | TestHub
- If , then is equal to | Mathematics | TestHub
- If , then what is the value of ? | Mathematics | TestHub
- If,, wherethenis equal to | Mathematics | TestHub
- The value ofis equal to: | Mathematics | TestHub
- Ifwherethen for allis equal to : | Mathematics | TestHub
- Considering only the principal values of i... | Mathematics | TestHub
- The value ofis equal to: | Mathematics | TestHub
- is equal to: | Mathematics | TestHub
- The sum of possible values offoris: | Mathematics | TestHub
- Ifthen the value ofis: | Mathematics | TestHub
- The number of solutions of the equationfor... | Mathematics | TestHub
- Given that the inverse trigonometric funct... | Mathematics | TestHub
- is equal to: | Mathematics | TestHub
- Considering the principal values of the in... | Mathematics | TestHub
- Considering only the principal values of t... | Mathematics | TestHub
- If, thenis equal to | Mathematics | TestHub
- Let represent a parabola with focusand dir... | Mathematics | TestHub
- is equal to | Mathematics | TestHub
- Letbe the set of all solutions of the equa... | Mathematics | TestHub
- Ifthenis equal to | Mathematics | TestHub
- Considering only the principal values of i... | Mathematics | TestHub
- For. Ifand, thenequal to | Mathematics | TestHub
- is equal to: | Mathematics | TestHub
- If , then is equal to _____. | Mathematics | TestHub
- Considering the principal values of the in... | Mathematics | TestHub
- If , then the expression is equal to : | Mathematics | TestHub
- Let . Then is equal to ______. | Mathematics | TestHub
- If p, q are roots of 6 x^{2}+10 x+1=0 , fi... | Mathematics | TestHub
- Which listed x solves ? | Mathematics | TestHub
- If , evaluate a√(1-a²)+b√(1-b²)+c√(1-c²). | Mathematics | TestHub
- Evaluate . | Mathematics | TestHub
- Positive integers x, y satisfy \tan ^{-1}(... | Mathematics | TestHub
- For evaluate (). | Mathematics | TestHub
- Match: P= number of integer k for which \s... | Mathematics | TestHub
- If , evaluate 4. | Mathematics | TestHub
- Positive x_{1}, x_{2}, x_{3}, x_{4} are ro... | Mathematics | TestHub
- Which expressions equal 2 \cot ^{-1} 7+\co... | Mathematics | TestHub
- Evaluate for real 0<|x|≤1. | Mathematics | TestHub
Summation of series(28)
- For any positive integer, defineas for all... | Mathematics | TestHub
- The value ofis: | Mathematics | TestHub
- Ifis the sum of the first 10 terms of the... | Mathematics | TestHub
- Ifthen the value ofis : | Mathematics | TestHub
- Letthenis equal to : | Mathematics | TestHub
- is equal to_______. | Mathematics | TestHub
- For any positive integer, letbe defined by... | Mathematics | TestHub
- Ifuptoterms, thenis: | Mathematics | TestHub
- The value ofis equal to | Mathematics | TestHub
- The value ofis | Mathematics | TestHub
- Let. be consecutive natural numbers. Theni... | Mathematics | TestHub
- The sum of the infinite series is :- | Mathematics | TestHub
- If S_{n}=\sum\limits_{r=1}^{n}{}\tan^{-1}\... | Mathematics | TestHub
- \sum_{K=1}^{\infty}\operatorname{Tan}^{-1}... | Mathematics | TestHub
- The value of \tan \left[\tan ^{-1} \frac{1... | Mathematics | TestHub
- Sum to infinite terms of the series \cot^{... | Mathematics | TestHub
- If \mathrm{S}=\sum_{\mathrm{r}=1}^{50} \ta... | Mathematics | TestHub
- \sum_{K=1}^{\infty} \operatorname{Tan}^{-1... | Mathematics | TestHub
- The value of the infinite series \sum_{n=1... | Mathematics | TestHub
- The value of the infinite series \sum_{n=1... | Mathematics | TestHub
- The value of the sum \sum_{n=1}^{10} \tan^... | Mathematics | TestHub
- Find the infinite sum \tan ^{-1}(1 / 3)+\t... | Mathematics | TestHub
- The number of real solutions of the equati... | Mathematics | TestHub
- Find , with the nth term . | Mathematics | TestHub
- Evaluate \lim _{n \rightarrow \infty} \fra... | Mathematics | TestHub
- Find \cot ^{-1}\left(2^{2}+1 / 2\right)+\c... | Mathematics | TestHub
- Let \mathrm{S}_{\mathrm{n}}=\cot ^{-1} 3+\... | Mathematics | TestHub
- Find \csc ^{-1}(\sqrt{5})+\csc ^{-1}(\sqrt... | Mathematics | TestHub
T inverse T property(34)
- The number of solutions to the equation \s... | Mathematics | TestHub
- The value of \sin^{-1}(\sin 5) + \cos^{-1}... | Mathematics | TestHub
- Let be such that . Match the statements in... | Mathematics | TestHub
- Let Then the number of non-singular matric... | Mathematics | TestHub
- Find the value of | Mathematics | TestHub
- Let, where,Then a value ofis | Mathematics | TestHub
- The value ofis equal to: | Mathematics | TestHub
- Ifandthenis equal to: | Mathematics | TestHub
- is equal to :(The inverse trigonometric fu... | Mathematics | TestHub
- is equal to | Mathematics | TestHub
- If the inverse trigonometric functions tak... | Mathematics | TestHub
- Letbe the largest interval for which, hold... | Mathematics | TestHub
- If , then the value of is | Mathematics | TestHub
- For , if , then is equal to_____ | Mathematics | TestHub
- The total number of real solutions of the... | Mathematics | TestHub
- Using the principal values of the inverse... | Mathematics | TestHub
- Let n be any integer. Which forms give sol... | Mathematics | TestHub
- If x≥1, evaluate 2. | Mathematics | TestHub
- Find the greatest x at the right edge of t... | Mathematics | TestHub
- Evaluate . | Mathematics | TestHub
- Let be defined by . The number of points s... | Mathematics | TestHub
- Evaluate , in radians. | Mathematics | TestHub
- For which choices of a does \left|x^{2}-a\... | Mathematics | TestHub
- Evaluate using principal values. | Mathematics | TestHub
- Evaluate . | Mathematics | TestHub
- For -1≤x<0, evaluate . | Mathematics | TestHub
- Evaluate . | Mathematics | TestHub
- Which identity holds for every real x (wit... | Mathematics | TestHub
- Let be defined by . The number of points s... | Mathematics | TestHub
- Which pair of functions is not identical o... | Mathematics | TestHub
- Match List I to List II. List I: (A) Numbe... | Mathematics | TestHub
- For 0<x<1, evaluate . | Mathematics | TestHub
- Evaluate . | Mathematics | TestHub
- If , how many integral x work? | Mathematics | TestHub
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