Trigonometric EquationMedium

Question

If , then

Options

A.tan²x =

B.

C.tan²x =

D.

Solution

3 sin⁴x + 2(1 - sin²x)² =
⇒ 25 sin⁴ x - 20 sin² x + 4 = 0
⇒ sin² x = and cos² x =
∴ tan² x = and

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