Simplify cos3 [ 3 3 + Sin3 [ 3 −3
−3 3] 3 3]
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Answer:
cos(A+B)=cosAcosB−sinAsinB
cos3π=21,sinπ/3=23
⇒5cosθ+3[cos3πcosθ−sin3πsinθ]+3
⇒5cosθ+3[2cosθ−23sinθ]+3
⇒5cosθ+23cosθ−233sinθ+3
⇒213cosθ−233sinθ+3
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