Asked by Jerry
Prove or disprove the following identity
sin^4theta - cos^4theta = sin^2theta-cose^2theta
sin^4theta - cos^4theta = sin^2theta-cose^2theta
Answers
Answered by
Reiny
LS = sin^4 Ø - cos^4 Ø
= (sin^2 Ø + cos^2 Ø)(sin^2 Ø - cos^2 Ø)
= (1)(sin^2 Ø - cos^2 Ø)
= RS
= (sin^2 Ø + cos^2 Ø)(sin^2 Ø - cos^2 Ø)
= (1)(sin^2 Ø - cos^2 Ø)
= RS
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