Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Prove from LHS (left-hand side)
- Prove from RHS (right-hand side)
- Express everything into Sine and Cosine
- Exact Differential Equation
- Linear Differential Equation
- Separable Differential Equation
- Homogeneous Differential Equation
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
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Starting from the left-hand side (LHS) of the identity
Learn how to solve trigonometric identities problems step by step online.
$\cos\left(x\right)-\cos\left(x\right)^3$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity cos(x)-cos(x)^3=cos(x)sin(x)^2. Starting from the left-hand side (LHS) of the identity. Factor the polynomial \cos\left(x\right)-\cos\left(x\right)^3 by it's greatest common factor (GCF): \cos\left(x\right). Apply the trigonometric identity: 1-\cos\left(\theta \right)^2=\sin\left(\theta \right)^2. Since we have reached the expression of our goal, we have proven the identity.