Learn how to solve simplification of algebraic fractions problems step by step online. Prove the trigonometric identity sin(b)^4-cos(b)^4+1=2sin(b)^2. Starting from the left-hand side (LHS) of the identity. Apply the trigonometric identity: \sin\left(\theta \right)^4-\cos\left(\theta \right)^4=1-2\cos\left(\theta \right)^2, where x=b. Add the values 1 and 1. Factor the polynomial 2-2\cos\left(b\right)^2 by it's greatest common factor (GCF): 2.

Prove the trigonometric identity sin(b)^4-cos(b)^4+1=2sin(b)^2