Question

Given:
csc θ = −(17/15), where 270° ≤ θ ≤ 360° and
cot β = −(3/4) where 90° ≤ β ≤ 180°.

Find the exact value of sin(θ + β). (3)

Answer 1

\[\sin(a+b) = \sin a \cos b + \sin b \cos a\]

set up triangles to obtain sina,sinb,cos a, cos b



solve for missing sides of triangles to get needed trig ratios
plug values into formula for sin(a+b)