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.
$\frac{\sin\left(x\right)^4-\cos\left(x\right)^4}{1-\cot\left(x\right)^4}$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity (sin(x)^4-cos(x)^4)/(1-cot(x)^4)=sin(x)^4. 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. Apply the trigonometric identity: \cot(x)=\frac{\cos(x)}{\sin(x)}. Combine all terms into a single fraction with \sin\left(x\right)^4 as common denominator.