JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

1 Easy

1 of 1

Application +4 | -1

The number of solutions of the equation

3^{2 \sec ^2 x}+1=10.3^{\tan ^2 x}

in the interval

[0,2 \pi]

View answer and explanation

Correct option: C

Option C (4) is correct because solving the equation

3^{2 \sec^2 x} + 1 = 10 \cdot 3^{\tan^2 x}

leads to four solutions for

x

in the interval

[0, 2\pi]

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