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Starting from the left-hand side (LHS) of the identity
Learn how to solve trigonometric identities problems step by step online.
$\frac{1-\tan\left(x\right)^2}{1+\tan\left(x\right)^2}$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity (1-tan(x)^2)/(1+tan(x)^2)=1-2sin(x)^2. Starting from the left-hand side (LHS) of the identity. Rewrite \frac{1-\tan\left(x\right)^2}{1+\tan\left(x\right)^2} in terms of sine and cosine functions. Simplify the fraction \frac{\sin\left(x\right)^2}{\cos\left(x\right)^2}+1 into \frac{1}{\cos\left(x\right)^2}. Divide fractions \frac{1+\frac{-\sin\left(x\right)^2}{\cos\left(x\right)^2}}{\frac{1}{\cos\left(x\right)^2}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}.