Question

If sin(x-20) ° =cos(3x-10) ° , then x is :
(A) 60 (B) 30 (C) 45 (D) 35.5​

Answer 1

$\huge \bold{hey \: there}$

sin(x-20)=cos(3x-10)

➡sin(x-20)=sin[90-(3x-10)]-----[sin(90-theta)=cos theta]

➡sin(x-20)=sin(90-3x+10)

➡sin(x-30)=sin(100-3x)

Cancelling sin from both the sides,

➡x-30=100-3x

➡x+3x=100+30

➡4x=130

➡x=32.5