Mathematics › Trigonometric Ratios & Identities
Trigonometric Ratios & Identities Questions
140 questions across 7 subtopics — with step-by-step solutions.
Addition, Multiplication, Subtraction formula based,Multiple/Submultiple angles(57)
- Let A = \sin^4 x + \cos^4 x and B = \sin^8... | Mathematics | TestHub
- Let x be an angle such that \tan x , \tan(... | Mathematics | TestHub
- If, and , then find the value of | Mathematics | TestHub
- If then is equal to | Mathematics | TestHub
- An object is obseved from the points and C... | Mathematics | TestHub
- Practice Question | Mathematics | TestHub
- Letwhereand. Thenequals | Mathematics | TestHub
- Ifandare the minimum and the maximum value... | Mathematics | TestHub
- If and are positive acute angles satisfyin... | Mathematics | TestHub
- Ifthen the value ofis | Mathematics | TestHub
- Letbe three non-zero real numbers such tha... | Mathematics | TestHub
- Ifandthenis equal to: | Mathematics | TestHub
- The value ofis | Mathematics | TestHub
- The equationrepresents a straight line lyi... | Mathematics | TestHub
- The value ofis: | Mathematics | TestHub
- then is equal to , | Mathematics | TestHub
- Ifand, then, is equal to | Mathematics | TestHub
- The value ofis: | Mathematics | TestHub
- then, is equal to | Mathematics | TestHub
- If and | Mathematics | TestHub
- The value ofis: | Mathematics | TestHub
- If then | Mathematics | TestHub
- The value ofis : | Mathematics | TestHub
- is a root of the equation: | Mathematics | TestHub
- Ifthenis equal to: | Mathematics | TestHub
- A inches long pencil with mid point and a... | Mathematics | TestHub
- The value ofis equal to: | Mathematics | TestHub
- The value ofis equal to | Mathematics | TestHub
- is equal to | Mathematics | TestHub
- The value ofis | Mathematics | TestHub
- Let. Then | Mathematics | TestHub
- is a root of which of the following equation | Mathematics | TestHub
- Letandbe real numbers such that. Ifand, th... | Mathematics | TestHub
- If, thenis equal to _____. | Mathematics | TestHub
- Ifand, whereand, then the value ofand the... | Mathematics | TestHub
- The value ofis | Mathematics | TestHub
- Forletand a real numberbe such that. Then... | Mathematics | TestHub
- Ifand, thenis equal to: | Mathematics | TestHub
- The sum of all values of in , for which ,... | Mathematics | TestHub
- If the value of is , where are natural num... | Mathematics | TestHub
- Let . Then, the sum of all , where attains... | Mathematics | TestHub
- The value of is | Mathematics | TestHub
- If , then is equal to : | Mathematics | TestHub
- If , then is equal to | Mathematics | TestHub
- If , then is equal to | Mathematics | TestHub
- If , then is equal to : | Mathematics | TestHub
- For 0<\theta<\pi / 2 , which options solve... | Mathematics | TestHub
- The expression (\cos 3 \theta+\sin 3 \thet... | Mathematics | TestHub
- A B C D is a unit square. Points P and Q l... | Mathematics | TestHub
- If \cos \beta is the geometric mean of \si... | Mathematics | TestHub
- If \tan \alpha is an integral solution of... | Mathematics | TestHub
- The solutions of \sin x \sin y=\sqrt{3} /... | Mathematics | TestHub
- Let f(x)=0 be an equation of degree six, h... | Mathematics | TestHub
- If A and B are acute angles such that A+B... | Mathematics | TestHub
- If the length of the largest interval in w... | Mathematics | TestHub
- In \triangle A B C,\left(\frac{1}{\sin \fr... | Mathematics | TestHub
- If \frac{\sin \mathrm{x}}{\mathrm{a}}=\fra... | Mathematics | TestHub
Basic Identities & T Ratios(33)
- The value of \frac{\cos(\frac{\pi}{14})\co... | Mathematics | TestHub
- If x is a real number satisfying 2\sin^2 x... | Mathematics | TestHub
- If P = \cos(2\theta) and Q = \sin(2\theta)... | Mathematics | TestHub
- The period of is | Mathematics | TestHub
- Let be such that . If and , then the value... | Mathematics | TestHub
- Let and and , then | Mathematics | TestHub
- Let and let , where , then | Mathematics | TestHub
- is equal to | Mathematics | TestHub
- Let be such that for . Then the value (s)... | Mathematics | TestHub
- The value of is | Mathematics | TestHub
- Suppose and are such that , sec and are in... | Mathematics | TestHub
- The expressioncan be written as : | Mathematics | TestHub
- If and then | Mathematics | TestHub
- An arch of a bridge is semi-elliptical wit... | Mathematics | TestHub
- If , then the value of is | Mathematics | TestHub
- Let for Then for all the value of is equal... | Mathematics | TestHub
- For anythe expressionequals: | Mathematics | TestHub
- Letand let, where, then | Mathematics | TestHub
- The value ofin the intervalequals | Mathematics | TestHub
- Iffor somethen the value ofis equal to : | Mathematics | TestHub
- If, then the value ofis : | Mathematics | TestHub
- The value ofis _____. | Mathematics | TestHub
- If , where , then is equal to | Mathematics | TestHub
- If , then is equal to : | Mathematics | TestHub
- If \sin \frac{\pi}{8}=\sqrt{\frac{1}{\sqrt... | Mathematics | TestHub
- If \cos \theta+\cos ^{2} \theta+\cos ^{3}... | Mathematics | TestHub
- The solution set of |\sin x| \leq|\cos 2 x... | Mathematics | TestHub
- In which of the following sets does \sin ^... | Mathematics | TestHub
- For x \in(-\pi, \pi) , which values satisf... | Mathematics | TestHub
- The solution set of |\sin x| \leq|\cos 2 x... | Mathematics | TestHub
- For \theta=100^{\circ} , classify \sin \th... | Mathematics | TestHub
- If \sin \theta+\sin ^{2} \theta+\sin ^{3}... | Mathematics | TestHub
- Evaluate \tan 200^{\circ}\left(\cot 10^{\c... | Mathematics | TestHub
Conditional identities(12)
- Let A, B, C be three angles such that \cos... | Mathematics | TestHub
- If \sin x + \sin y + \sin z = 0 and \cos x... | Mathematics | TestHub
- If A, B, C are acute angles such that \sin... | Mathematics | TestHub
- If A, B, C are angles of a triangle such t... | Mathematics | TestHub
- If \alpha+\beta+\gamma=\pi and \tan \left[... | Mathematics | TestHub
- If \left(\cos ^{2} x+1 / \cos ^{2} x\right... | Mathematics | TestHub
- If \frac{\tan x}{2}=\frac{\tan y}{3}=\frac... | Mathematics | TestHub
- Let \theta, \phi \in[0,2 \pi] satisfy 2 \c... | Mathematics | TestHub
- If \alpha=\frac{\pi}{14} , then the value... | Mathematics | TestHub
- If x=\sin (\alpha-\beta) \sin (\gamma-\del... | Mathematics | TestHub
- If (1+k) \tan ^{2} x-4 \tan x-1+k=0 has re... | Mathematics | TestHub
- If \left(1+\tan ^{2} 2 x\right)\left(\cos... | Mathematics | TestHub
Maximum & Minimum Values(14)
- The maximum value of 16 \sin x \sin(x+\fra... | Mathematics | TestHub
- The maximum value offor any real value ofis : | Mathematics | TestHub
- If the equationhas real solutions forthenl... | Mathematics | TestHub
- The equation possesses a solution if | Mathematics | TestHub
- The number of integral values offor which... | Mathematics | TestHub
- Let f(x)=2 \operatorname{cosec}(2 x)+\sec... | Mathematics | TestHub
- Range of f(x)=\sin ^{6} x+\cos ^{6} x is | Mathematics | TestHub
- If 2^{\sec ^{2} x} \sqrt{\tan ^{2} y-\tan... | Mathematics | TestHub
- \frac{\alpha^{2}}{1-\tan ^{2} x}=\frac{\si... | Mathematics | TestHub
- Rectangles A B C D and P Q R S are arrange... | Mathematics | TestHub
- Which of the following functions have maxi... | Mathematics | TestHub
- The minimum value of, \frac{\sec ^{4} \alp... | Mathematics | TestHub
- \sin \theta+\sqrt{3} \cos \theta=6 x-x^{2}... | Mathematics | TestHub
- Let x \geq y \geq z \geq \pi / 12 and x+y+... | Mathematics | TestHub
Measurement of Angles(4)
Miscellaneous/Mixed(7)
- The value of \frac{1}{\sin 10^\circ} + \fr... | Mathematics | TestHub
- Let and are the angles of a triangle and .... | Mathematics | TestHub
- In \mathrm{a} \square \mathrm{ABC}, \mathr... | Mathematics | TestHub
- The value of \sec \left(\frac{\pi}{7}\righ... | Mathematics | TestHub
- The value of \sin \frac{\pi}{14} \sin \fra... | Mathematics | TestHub
- The value of \cos \left(\frac{\pi}{14}\rig... | Mathematics | TestHub
- In a triangle ABC, if \mathrm{r}_{1}, \mat... | Mathematics | TestHub
Summation of Series(13)
- The value of \sum_{k=1}^{10} \sin\left(\fr... | Mathematics | TestHub
- Let n \in \mathbb{N} with n \ge 2 . Let x_... | Mathematics | TestHub
- Let n \in \mathbb{N} and S_n = \sum_{k=1}^... | Mathematics | TestHub
- The value of \sum_{k=1}^{n} \cos^2\left(\f... | Mathematics | TestHub
- If \theta = \frac{\pi}{12} , then the valu... | Mathematics | TestHub
- For non-negative integersletAssumingtakes... | Mathematics | TestHub
- The value ofis: | Mathematics | TestHub
- Let. Letbe the function defined by. Then,... | Mathematics | TestHub
- is equal to | Mathematics | TestHub
- Let Then the value of is __________ | Mathematics | TestHub
- The product \prod_{k=1}^{45} \frac{\cos k^... | Mathematics | TestHub
- If a^{x}=b, b^{y}=c , and c^{z}=a for posi... | Mathematics | TestHub
- If \frac{\sin \theta}{\cos 3 \theta}+\frac... | Mathematics | TestHub
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