Question

What is the value of tan 0, if 0 and 20 - 45° are acute angles such that sin 0 = cos (20 - 45°)?​

Answer 1

Here instead of theta I used A

$sinA=cos(2A-45)\\\\cos(90-A)=cos(2A-45)\\\\90-A=2A-45\\\\90+45=3A\\\\135=3A\\\\A=45$

$tan 45=1$ ______{according to the ratios}