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How do you show that 2 sin squared x minus 1 divided by sin x minus cos x equals sin x plus cos x?
Updated: 4/28/2022
(2 sin^2 x - 1)/(sin x - cos x) = sin x + cos x
(sin^2 x + sin^2 x - 1)/(sin x - cos x) =? sin x + cos x
[sin^2 x - (1 - sin^2 x)]/(sin x - cos x) =? sin x + cos x
(sin^2 x - cos^2 x)/(sin x - cos x) =? sin x + cos x
[(sin x - cos x)(sin x + cos x)]/(sin x - cos x) =? sin x + cos x
sin x + cos x = sin x + cos x
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