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Prove the trigonometric identity $\sec\left(\pi -x\right)=-\sec\left(x\right)$

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Solution

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Learn how to solve proving trigonometric identities problems step by step online. Prove the trigonometric identity sec(pi-x)=-sec(x). Starting from the left-hand side (LHS) of the identity. Rewrite \sec\left(\pi -x\right) in terms of sine and cosine. Use the trigonometric relation obtained from the unit circle: \cos\left(\pi -\theta \right) = -\cos\left(\theta \right). Applying the trigonometric identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}.

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Similar Problems Solved

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$\frac{1}{1-sin\left(x\right)}-\frac{1}{1+\sin\left(x\right)}=2\tan\left(x\right)sec\left(x\right)$

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Prove the identity

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Prove the identity

$\sec x-\sin x\tan x=\cos x$

Main Topic: Proving Trigonometric Identities

To prove a trigonometric identity, you have to show that one side of the equation can be transformed into the other side.

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