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

Step-by-step Solution

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Final Answer

true

Step-by-step Solution

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Starting from the left-hand side (LHS) of the identity

$\csc\left(x\right)\tan\left(x\right)$

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$\csc\left(x\right)\tan\left(x\right)$

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Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity csc(x)tan(x)=sec(x). Starting from the left-hand side (LHS) of the identity. Applying the tangent identity: \displaystyle\tan\left(\theta\right)=\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}. Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}. Multiplying fractions \frac{1}{\sin\left(x\right)} \times \frac{\sin\left(x\right)}{\cos\left(x\right)}.

Final Answer

true

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Prove from RHS (right-hand side)Express everything into Sine and Cosine

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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.

Used Formulas

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