The number of solutions of the equation :
$3 {cos}^{2} x {sin}^{2} x - {sin}^{4} x - {cos}^{2} x = 0$ in the interval $[0, 2 π]$ is:

$8$

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$4$

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$6$

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$3$

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Solution

The correct option is B
$4$

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Similar questions

The number of solutions of the equation :

3cos²x sin²x - sin⁴x - cos²x = 0 in the interval [0, 2] is:

{cos}^{4} x + \frac{1}{c o s^{2} x} = s i n^{4} x + \frac{1}{s i n^{2} x}

[0, 2 π]

?

{cos}^{2} x + {sin}^{4} x = 1

(- π, π)

sin 5 x c o s 3 x = sin 6 x cos 2 x

[0, π]

sin 2 x + sin 4 x = 2 sin 3 x

0 \leq x \leq π

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