Prove the trigonometric identity $4\sec\left(x\right)-4\cos\left(x\right)=4\sin\left(x\right)\tan\left(x\right)$

Learn how to solve proving trigonometric identities problems step by step online. Prove the trigonometric identity 4sec(x)-4cos(x)=4sin(x)tan(x). 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)}. Combine all terms into a single fraction with \cos\left(x\right) as common denominator. Factor the polynomial 4-4\cos\left(x\right)^2 by it's greatest common factor (GCF): 4.