Question

COS ( X - 30°) = SIN (X + 30° )

Answer 1

SOLUTION:

cos ( x - 30° ) = sin ( x +30° ). [GIVEN]

cos ( x - 30° ) = cos ( 90° - ( x + 30°))

cos ( x - 30° ) = cos ( 90° - x - 30° )

cos ( x - 30° ) = cos ( 60 -x )

on comparing bth side , we get

x - 30° = 60° - x

x + x = 60° + 30°

2x = 90°

x = 90/2

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = 45$