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write an equation expressing 19cos(theta-50degrees) as a sum of sine and cosine.

  • trig -

    Using the identity cos(a-b) = cos a cos b + sin a sin b

    cos(θ-50) = cosθcos50 + sinθsin50
    = .64cosθ + .77sinθ


    19cos(θ-50) = 19(.64cosθ + .77sinθ)
    = 12.16cosθ + 14.63sinθ

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