Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Prove from RHS (right-hand side)
- Prove from LHS (left-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 right-hand side (RHS) of the identity
Learn how to solve trigonometric identities problems step by step online.
$\cos\left(x\right)^4+\sin\left(x\right)^2\cos\left(x\right)^2$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity 1-sin(x)^2=cos(x)^4+sin(x)^2cos(x)^2. Starting from the right-hand side (RHS) of the identity. Factor the polynomial \cos\left(x\right)^4+\sin\left(x\right)^2\cos\left(x\right)^2 by it's greatest common factor (GCF): \cos\left(x\right)^2. Applying the pythagorean identity: \sin^2\left(\theta\right)+\cos^2\left(\theta\right)=1. Applying the pythagorean identity: \cos^2(\theta)=1-\sin(\theta)^2.