12. Prove that: sin3 θ−cos3θ
sinθ−cosθ
+
sin3 θ+cos3θ
sinθ+cosθ
= 2
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Answer:
Simplify left hand side of sinθ- 2sin3θ2cos3θ-cosθ = tanθ = sinθ (1 - 2sin2θ )cosθ (2cos2θ- 1 ) = sinθ (1 - 2sin2θ )cosθ (2 (1 - sin2θ ) ...
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