sin2 x = (1/2)(1 - cos 2x)
cos2 x = (1/2)(1 + cos 2x)
Multiplying both you get (1/4) (1 - cos2 2x)
Which is equal to (1/4) (1 - (1/2) (1 + cos 4x)
= (1/8) (2 - 1 - cos 4x)
= (1/8) (1 - cos 4x) Or If it is the trigonomic function, sin squared x and cosine squared x is equal to one
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Note that an angle should always be specified - for example, 1 - cos square x. Due to the Pythagorean formula, this can be simplified as sin square x. Note that sin square x is a shortcut of (sin x) squared.
Cos^2 x = 1 - sin^2 x
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Yes. 'sin2x + cos2x = 1' is one of the most basic identities in trigonometry.
No. Cos squared x is not the same as cos x squared. Cos squared x means cos (x) times cos (x) Cos x squared means cos (x squared)