Angles θ and φ are angles in standard position such that: sinθ = -5/13 and θ terminates in Quadrant III

tanφ = -8/15 and φ terminates in Quadrant II

Find sin(θ + φ).

When terminates in quadrant III, both and are negative, and

When terminates in quadrant II, is negative and is positive, so

which gives

Now,

each side has a different length.  

step-by-step explanation:

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