Prove the trigonometric identity $\sin\left(\infty \right)\tan\left(\infty \right)+\cos\left(\infty \right)=\sec\left(\infty \right)$

Learn how to solve proving trigonometric identities problems step by step online. Prove the trigonometric identity sin(infinity)tan(infinity)+cos(infinity)=sec(infinity). 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)}. Multiplying the fraction by \sin\left(\infty\right). Combine all terms into a single fraction with \cos\left(\infty\right) as common denominator.