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Step-by-step Solution

Prove the trigonometric identity $\sec\left(x\right)=\frac{\sin\left(2x\right)}{\sin\left(x\right)}-\left(\frac{\cos\left(2x\right)}{\cos\left(x\right)}\right)$

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Solution

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Step-by-step Solution

Problem to solve:

$\sec\left(x\right)=\frac{\sin\left(2x\right)}{\sin\left(x\right)}-\frac{\cos\left(2x\right)}{\cos\left(x\right)}$

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Final Answer

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$\sec\left(x\right)=\frac{\sin\left(2x\right)}{\sin\left(x\right)}-\frac{\cos\left(2x\right)}{\cos\left(x\right)}$

Main topic:

Integrals of Rational Functions

Time to solve it:

~ 1.02 s

Related topics:

Integrals of Rational FunctionsIntegral CalculusCalculus

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