JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Application +4 | -1

The values of

a

for which the equation

\cos ^4 x-(a+2) \cos ^2 x-(a+3)=0

possesses a solution, lies in

View answer and explanation

Correct option: A

[-3,-2]

Option A ([-3,-2]) is correct because by solving the quadratic equation for

\cos^2 x

and using the fact that

0 \leq \cos^2 x \leq 1

, we find that

-3 \leq a \leq -2

for the equation to possess a solution.

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