How do I simplify 1-2sin^2x + sin^4x?
How can I simplify the expression (1 - 2\sin^2(x) + \sin^4(x))? I believe that using fundamental identities and factoring the expression will help, but I would appreciate detailed guidance on how to approach this problem.
3 Answers
Feb 22, 2025
This whole expression factors, as follows (it's a perfect square):
It's (1 - sin^2 x)^2 = (cos^2 x)^2 = cos^4 x.
Live long and prosper.
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