Prove the following 2sin A-cos3 A-2sin3 A-cos A-sin 4A-2

Proof:Taking LHS,LHS= 2sin A·cos^3 A 2sin^3 A·cos A0ex0ex =2sin A·cos A(cos^2 A sin^2 A)0ex0ex =sin 2A·cos 2A [∵ 2sin A·cos A=sin 2A andcos^2 ...

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Domain and Range of Basic Inverse Trigonometric Functions

Prove the fol...

Question

Prove the following $2 s i n A \cdot c o s^{3} A - 2 s i n^{3} A \cdot c o s A = \frac{\sin 4 A}{2}$

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