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Answer to Question #2491 in Trigonometry for jenny

Question #2491
What steps would you take to verify this? Thank you!!! :)
(1-cos^2(x)) / ((1-sinx) (1+sinx)) = tan^2(x)
Expert's answer
Due to the identity
cos2x+sin2x=1
the numerator is equal to sin2x

In the denominator we open brackets by standard formula:
(1-sinx) (1+sinx)=1-sin2(x)
which gives cos2(x)

Hence we get
sin2x/ cos2x = tan2x

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