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

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## Trigonometric Identities

· Reciprocal identity of cosine and secant
$\sec\left(\theta \right)=\frac{1}{\cos\left(\theta \right)}$
· Reciprocal identity of sine and cosecant
$\csc\left(\theta \right)=\frac{1}{\sin\left(\theta \right)}$
· Pythagorean identity of sine and cosine
$\sin\left(\theta \right)^2+\cos\left(\theta \right)^2=1$

###  Main Topic: Trigonometric Identities

In mathematics, trigonometric identities are equalities that involve trigonometric functions and are true for every single value of the occurring variables where both sides of the equality are defined.