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 factor by difference of squares problems step by step online.
$\frac{\cot\left(x\right)}{1+\csc\left(x\right)}$
Learn how to solve factor by difference of squares problems step by step online. Prove the trigonometric identity cot(x)/(1+csc(x))=sec(x)-tan(x). Starting from the left-hand side (LHS) of the identity. Multiply and divide the fraction \frac{\cot\left(x\right)}{1+\csc\left(x\right)} by the conjugate of it's denominator 1+\csc\left(x\right). Apply the trigonometric identity: 1-\csc\left(\theta \right)^2=-\cot\left(\theta \right)^2. Simplify the fraction by \cot\left(x\right).