Question

If sin x=cos x find x

Answer 1

Answer:

Step-by-step explanation:

$\sin x=\cos x\\\\\tan x=1\\\\x=2n\pi +\frac{\pi}{4}\\\\for\;\; n=0\\\\x=\frac{\pi}{4}=45^0\\\\for \;\;n=1\\\\x=\frac{9\pi}{4}=405^0\\\\AND\;\;SO\;\;ON$

Hope it helps

Answer 2

GIVEN

$\sin(x) = \cos(x)$

TO FIND :- x

SOLUTION :-

$\sin(x) = \cos(x) \\ \\ \\ \implies \sin(x) = \sin(90 - x) \\ \\ \\ \\ \implies x = 90 - x \\ \\ \\ \\ \implies 2x = 90 \\ \\ \\ \implies \: x = \frac{90}{2} \\ \\ \\ \\ \implies \boxed{x = 45}$

Therefore, x = 45°

VERIFICATION :-

LHS = Sin x

= sin 45°

= 1/2

RHS = Cos x

= Cos 45°

= 1/2

Hence, LHS = RHS so our answer is correct.