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 differential calculus problems step by step online.
$\frac{1-\cot\left(x\right)^2}{1+\cot\left(x\right)^2}$
Learn how to solve differential calculus problems step by step online. Prove the trigonometric identity (1-cot(x)^2)/(1+cot(x)^2)=sin(x)^2-cos(x)^2. Starting from the left-hand side (LHS) of the identity. Apply the trigonometric identity: 1+\cot\left(\theta \right)^2=\csc\left(\theta \right)^2. Expand the fraction \frac{1-\cot\left(x\right)^2}{\csc\left(x\right)^2} into 2 simpler fractions with common denominator \csc\left(x\right)^2. Simplify the resulting fractions.