1.

Prove that tan tan 4 θ=4 tan θ (1−tan2θ)1−6 tan2 θ+tan4 θ. Find the angle θϵ(0,π2), in which the given proof does not hold. Or Prove that cos4x+cos3x+cos2xsin4x+sin3x+sin2x = cot 3x . Do you think at x=π3, the given proof holds true?

Answer»

Prove that tan tan 4 θ=4 tan θ (1tan2θ)16 tan2 θ+tan4 θ. Find the angle θϵ(0,π2), in which the given proof does not hold.

Or

Prove that cos4x+cos3x+cos2xsin4x+sin3x+sin2x = cot 3x . Do you think at x=π3, the given proof holds true?



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