Exercise
$\frac{3+4cos\left(2x\right)+cos\left(4x\right)}{8}=cos^4\left(x\right)$
Step-by-step Solution
Learn how to solve proving trigonometric identities problems step by step online. Prove the trigonometric identity (3+4cos(2x)cos(4x))/8=cos(x)^4. Starting from the left-hand side (LHS) of the identity. Apply the trigonometric identity: \cos\left(4\theta \right)=2\cos\left(2\theta \right)^2-1. We can try to factor the expression 2+4\cos\left(2x\right)+2\cos\left(2x\right)^2 by applying the following substitution. Substituting in the polynomial, the expression results in.
Prove the trigonometric identity (3+4cos(2x)cos(4x))/8=cos(x)^4
Final answer to the exercise
true