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Applying the sine identity: $\displaystyle\sin\left(\theta\right)=\frac{1}{\csc\left(\theta\right)}$
Learn how to solve simplify trigonometric expressions problems step by step online.
$\frac{1+\frac{-1}{\csc\left(x\right)}}{1+\sin\left(x\right)}$
Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression (1-sin(x))/(1+sin(x)). Applying the sine identity: \displaystyle\sin\left(\theta\right)=\frac{1}{\csc\left(\theta\right)}. Combine all terms into a single fraction with \csc\left(x\right) as common denominator. Divide fractions \frac{\frac{\csc\left(x\right)-1}{\csc\left(x\right)}}{1+\sin\left(x\right)} with Keep, Change, Flip: \frac{a}{b}\div c=\frac{a}{b}\div\frac{c}{1}=\frac{a}{b}\times\frac{1}{c}=\frac{a}{b\cdot c}. Multiply the single term \csc\left(x\right) by each term of the polynomial \left(1+\sin\left(x\right)\right).