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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$\frac{1+\csc\left(x\right)}{\sec\left(x\right)}-\cot\left(x\right)$
Learn how to solve problems step by step online. Prove the trigonometric identity (1+csc(x))/sec(x)-cot(x)=cos(x). Starting from the left-hand side (LHS) of the identity. Combine all terms into a single fraction with \sec\left(x\right) as common denominator. Simplify -\cot\left(x\right)\sec\left(x\right) by applying trigonometric identities. Cancel like terms \csc\left(x\right) and -\csc\left(x\right).