JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Application +4 | -1

\tan ^2 x+\sec x-a=0

has atleast one solution, then the complete set of values of

a

View answer and explanation

Correct option: D

[-1, \infty)

Option D (

\left[-1, \infty\right)

) is correct because by converting the equation to a quadratic in

\sec x

and analyzing the possible values of

\sec x

, we find that

a \geq -1

for the equation to have at least one solution.

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