Question

if sin 36 + theta is equals to cos 16 + theta then the find the value of theta where 36 36 + theta and 16 + theta both acute angles

Answer 1

Check below for the answer

Answer 2

Answer:

19°

Step-by-step explanation:

Hi,

Given sin(36 + θ) = cos(16 + θ)

But cos θ = sin (90 - θ)

hence cos(16 + θ) = sin ( 90 - 16 - θ)

= sin(74 - θ)

So, sin( 36 + θ) = sin (74 - θ)

36 + θ = 74 - θ

2θ = 38

θ = 19°.

Hence, the value of θ is  19°.

Hope, it helps !