** 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
- Load more...

**

**

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

**

**

Multiply and divide the fraction $\frac{\cos\left(x\right)}{1+\sin\left(x\right)}$ by the conjugate of it's denominator $1+\sin\left(x\right)$

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

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

Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity cos(x)/(1+sin(x))=(1-sin(x))/cos(x). Starting from the left-hand side (LHS) of the identity. Multiply and divide the fraction \frac{\cos\left(x\right)}{1+\sin\left(x\right)} by the conjugate of it's denominator 1+\sin\left(x\right). Multiplying fractions \frac{\cos\left(x\right)}{1+\sin\left(x\right)} \times \frac{1-\sin\left(x\right)}{1-\sin\left(x\right)}. 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..

** Final answer to the problem

**