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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$\frac{\sin\left(x\right)-\sin\left(x\right)^3}{\cos\left(x\right)^2}$
Learn how to solve problems step by step online. Prove the trigonometric identity (sin(x)-sin(x)^3)/(cos(x)^2)=1/csc(x). Starting from the left-hand side (LHS) of the identity. Factor the polynomial \sin\left(x\right)-\sin\left(x\right)^3 by it's greatest common factor (GCF): \sin\left(x\right). Applying the sine identity: \displaystyle\sin\left(\theta\right)=\frac{1}{\csc\left(\theta\right)}. Multiply the fraction and term.