Question

15. Simplify sin(90° - O) cos 0 - sin(180° +0) sin e.​

Answer 1

Answer: cos²(θ) + sin(θ)sin(e)

Explanation:

sin (90° - θ)cos(Ф) - sin(180° + θ) sin(e)

Note the following identities:

sin (90° - θ) = cos(x)

sin (180° + θ) = -sin(x)

Substitute those identities into the expression:

cos(x)cos(x) - -sin(x)sin(e)

= cos²(x) + sin(x)sin(e)