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Prove the trigonometric identity $\frac{\cot\left(x\right)}{\csc\left(x\right)}=\cos\left(x\right)$

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Trigonometric Identities

· Reciprocal identity of sine and cosecant

Applying the cosecant identity: $\displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}$

$\csc\left(x\right)=\frac{1}{\sin\left(x\right)}$
· Reciprocal identity of cosine and secant

Applying the secant identity: $\displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}$

$\sec\left(x\right)=\frac{1}{\cos\left(x\right)}$
$\cot\left(x\right)\div\csc\left(x\right)=\cos\left(x\right)$

Related formulas:

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Time to solve it:

~ 0.04 s (SnapXam)