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Starting from the left-hand side (LHS) of the identity
Applying the secant identity: $\displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}$
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$\cos\left(\infty\right)\sec\left(\infty\right)$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity cos(infinity)sec(infinity)=1. 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 \cos\left(\infty\right). Simplify the fraction \frac{\cos\left(\infty\right)}{\cos\left(\infty\right)} by \cos\left(\infty\right).