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

Learn how to solve proving trigonometric identities problems step by step online. Prove the trigonometric identity sec(infinity)-sin(infinity)tan(infinity)=cos(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). Applying the secant identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}.