Posted by Kate on Sunday, November 6, 2011 at 9:19pm.
Using the identity cos(a-b) = cos a cos b + sin a sin b
cos(θ-50) = cosθcos50 + sinθsin50
= .64cosθ + .77sinθ
so,
19cos(θ-50) = 19(.64cosθ + .77sinθ)
= 12.16cosθ + 14.63sinθ
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