Prove each of the following identities.

a)tan^2x = 1 – cos^2x/cos^2x
b)sinx/1 – sin^2x = tanx/cosx

1 answer

a)

RS = sin^2x/cos^2x
= LS

b) LS = sinx/cos^2x
= (sinx/cosx)/cosx
= tanx/cosx
= RS
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