The exact value of sin 165 is (√3-1) / 2√2.
What is Trigonometry?
Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Using
sin (A + B) = sin A cos B + cos A sin B
So,
sin(120 + 45)
= sin 120 * cos 45 + sin 45 * cos 120
= sin ( 90+ 30)* 1/√2 + 1/√2* cos ( 90 +30)
= cos 30* 1/√2- 1/√2* sin 30
=√3/2* 1/√2 - 1/√2 *01/2
= (√3-1) / 2√2
Learn more about this concept here:
https://brainly.com/question/9481993
#SPJ2
