Answer-If sin 2 A + sin 4 A = 1 and cos 2 A + cos 4 A = 1, then find the value of (sin 4 A - cos 4 A)

Question

Answer-If sin 2  A + sin 4  A = 1 and cos 2  A + cos 4  A = 1, then find the value of (sin 4  A - cos 4  A)

Accepted Answer

sin 2  A  sin 4  A  1 -------- Icos 2  A  cos 4  A  1 ------- IIOn subtracting equation I from II,We get, sin 2  A  sin 4  A - cos 2  A - cos 4  A  1 - 1Or, sin 4  A - cos 4  A  cos 2  A - sin 2  AOr, sin 4  A - cos 4  A  cos A  sin A cos A - sin A

If sin 2 A + sin 4 A = 1 and cos

Solution

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