Question

The general solutions of the equation sin²x+cos²3x=1​

Answer 1

Step-by-step explanation:

${ \cos }^{2} 3x \: = \: 1 - {sin}^{2} x \\ { \cos }^{2} 3x \: \: = {cos}^{2} x \\ 3x \: = \: n\pi + or \: - x$

case:- 1

3x = nπ+x

2x = nπ

x = nπ/2

case:- 2

3x = nπ-x

4x = nπ

x = nπ/4

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