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
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$\frac{1+\cos\left(x\right)}{\sin\left(x\right)^2}$
Learn how to solve problems step by step online. Prove the trigonometric identity (1+cos(x))/(sin(x)^2)=1/(1-cos(x)). Starting from the left-hand side (LHS) of the identity. Applying the trigonometric identity: \sin\left(\theta \right)^2 = 1-\cos\left(\theta \right)^2. Factor the difference of squares 1-\cos\left(x\right)^2 as the product of two conjugated binomials. Simplify the fraction \frac{1+\cos\left(x\right)}{\left(1+\cos\left(x\right)\right)\left(1-\cos\left(x\right)\right)} by 1+\cos\left(x\right).