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Starting from the left-hand side (LHS) of the identity
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$\sin\left(b\right)\sec\left(b\right)$
Learn how to solve problems step by step online. Prove the trigonometric identity sin(b)sec(b)=tan(b). Starting from the left-hand side (LHS) of the identity. Applying the secant identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}. Multiplying the fraction by \sin\left(b\right). Apply the trigonometric identity: \frac{\sin\left(\theta \right)}{\cos\left(\theta \right)}=\tan\left(\theta \right), where x=b.