** Final answer to the problem

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** 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
- Load more...

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Starting from the left-hand side (LHS) of the identity

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Combine fractions with different denominator using the formula: $\displaystyle\frac{a}{b}+\frac{c}{d}=\frac{a\cdot d + b\cdot c}{b\cdot d}$

Learn how to solve trigonometric identities problems step by step online.

$\frac{1}{1-\sin\left(x\right)}+\frac{-1}{1+\sin\left(x\right)}$

Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity 1/(1-sin(x))+-1/(1+sin(x))=2tan(x)sec(x). Starting from the left-hand side (LHS) of the identity. Combine fractions with different denominator using the formula: \displaystyle\frac{a}{b}+\frac{c}{d}=\frac{a\cdot d + b\cdot c}{b\cdot d}. The sum of two terms multiplied by their difference is equal to the square of the first term minus the square of the second term. In other words: (a+b)(a-b)=a^2-b^2.. Simplify the product -(1-\sin\left(x\right)).

** Final answer to the problem

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