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
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$\frac{\csc\left(x\right)^2-1}{\cos\left(x\right)}$
Learn how to solve problems step by step online. Prove the trigonometric identity cot(x)csc(x)=(csc(x)^2-1)/cos(x). Starting from the right-hand side (RHS) of the identity. Applying the trigonometric identity: \csc\left(\theta \right)^2-1 = \cot\left(\theta \right)^2. Rewrite \frac{\cot\left(x\right)^2}{\cos\left(x\right)} in terms of \sin and \cos by applying trigonometric identities. Rewrite the exponent \sin\left(x\right)^2 as a product of two \sin\left(x\right).