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Prove the trigonometric identity $\frac{1+\cot\left(x\right)}{1+\tan\left(x\right)}=\cot\left(x\right)$

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Solution

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Final answer to the problem

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Step-by-step Solution

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Learn how to solve proving trigonometric identities problems step by step online. Prove the trigonometric identity (1+cot(x))/(1+tan(x))=cot(x). Starting from the left-hand side (LHS) of the identity. Divide the numerator and denominator by \tan(x). Expand both the numerator and denominator. Simplify the fraction \frac{\tan\left(x\right)}{\tan\left(x\right)} by \tan\left(x\right).

Final answer to the problem

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Similar Problems Solved

Prove the identity

$tan\left(x\right)+cot\left(x\right)=sec\left(x\right)cosec\left(x\right)$

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$sec\left(x\right)-tan\left(x\right)sin\left(x\right)=\frac{1}{sec\left(x\right)}$

Prove the identity

$\tan\left(x\right)+\cot\left(x\right)=\sec\left(x\right)\csc\left(x\right)$

Prove the identity

$\tan\left(a\right)+\cot\left(a\right)=\sec\left(a\right)\csc\left(a\right)$

Prove the identity

$\sec x-\sin x\tan x=\cos x$

Prove the identity

$\frac{1-sin\left(x\right)}{cos\left(x\right)}=\frac{cos\left(x\right)}{1+sin\left(x\right)}$

Main Topic: Proving Trigonometric Identities

To prove a trigonometric identity, you have to show that one side of the equation can be transformed into the other side.

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