Step-by-step Solution

Prove the trigonometric identity $\tan\left(x\right)+\cot\left(x\right)=\sec\left(x\right)\csc\left(x\right)$

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Step-by-step Solution

Problem to solve:

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

Solving method

Learn how to solve trigonometric identities problems step by step online.

$\tan\left(x\right)+\frac{1}{\tan\left(x\right)}=\sec\left(x\right)\csc\left(x\right)$

Unlock this full step-by-step solution!

Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity tan(x)+cot(x)=sec(x)csc(x). Applying the trigonometric identity: \cot\left(\theta\right)=\frac{1}{\tan\left(\theta\right)}. Combine all terms into a single fraction with \tan\left(x\right) as common denominator. When multiplying two powers that have the same base (\tan\left(x\right)), you can add the exponents. Applying the trigonometric identity: \tan(x)^2+1=\sec(x)^2.

Final Answer

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

Related Formulas:

2. See formulas

Time to solve it:

~ 0.06 s