Question

The question is :-
Prove that :-
$sin(\pi \div 2 + x) = \cos(x)$
Answer in the attachment.
Is the answer correct...
Then plzzz explain how

Answer 1

Hey !!!

sin( π + x ) = cosx

we know π = 180°

π/2 = 90 °

hence. ,π/2 + π/2 = 180°

now, substitute the value of π/2 instead of π

Then, sin{( π/2 + (π/2 -x )}

sin (90° + (90° - x)

cos ( 90°- x ) ✓•°• sin( 90° + x ) = cosx

sinx [✓•°• sin(90° -x )= sinx

sinx .. hence ur given solution is exactly right .

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Hope it helps you !!

@Rajukumar111