SOLUTION: Write each expression in terms of sine and​ cosine, and then simplify so that no quotients appear in the final expression and all functions are of θ only. (cscθ+se

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Question 1032484: Write each expression in terms of sine and​ cosine, and then simplify so that no quotients appear in the final expression and all functions are of θ only.
(cscθ+secθ)(sinθ-cosθ)= ?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Write each expression in terms of sine and​ cosine, and then simplify so that no quotients appear in the final expression and all functions are of θ only.
(cscθ+secθ)(sinθ-cosθ)= ?
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(1/sin + 1/cos)(sin - cos)
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(sin + cos)/(sin*cos) * (sin-cos)
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= (sin^2-cos^2)/(sin*cos)
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= (2sin^2-1)*csc*sec
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Cheers,
Stan H.
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