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Relation between Inverses of Trigonometric Functions and Their Reciprocal Functions

Number of sol...

Question

Number of solutions of the equation $cos 6 x + {tan}^{2} x + cos 6 x {tan}^{2} x = 1$ in the interval $[0, 2 π]$ is?

4

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5

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6

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7

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Solution

The correct option is C $6$
$(cos 6 x + 1) {tan}^{2} x$
so 6 solutions
30,150,210,330,0,180

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