Mathematics - Trigonometric Equation Question with Solution | TestHub

MathematicsTrigonometric EquationTrigonometric EquationEasy2 minQB

MathematicsEasysingle choice

Sum of integral values of $n$ such that $sin x (2 sin x + cos x) = n$ , has at least one real solution is

Answer:

Solution:

$2 sin^{2} x + \frac{2 s i n x c o s x}{2} = n$

$sin 2 x - 2 cos x = 2 n - 2 - 5 \leq 2 n - 2 \leq 5 \Rightarrow 1 - \frac{5}{2} \leq n \leq 1 + \frac{5}{2}$

∴ (A)

Stream:JEESubject:MathematicsTopic:Trigonometric EquationSubtopic:Trigonometric Equation

⏱ 2mℹ️ Source: QB

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