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

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Trigonometric Identities

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

Used formulas:

3. See formulas

Time to solve it:

~ 0.06 s