Final answer to the problem
Step-by-step Solution
Specify the solving method
Applying the tangent identity: $\displaystyle\tan\left(\theta\right)=\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}$
Learn how to solve problems step by step online.
$\frac{\csc\left(x\right)}{\cot\left(x\right)+\frac{\sin\left(x\right)}{\cos\left(x\right)}}$
Learn how to solve problems step by step online. Simplify the trigonometric expression csc(x)/(cot(x)+tan(x)). Applying the tangent identity: \displaystyle\tan\left(\theta\right)=\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}. Combine \cot\left(x\right)+\frac{\sin\left(x\right)}{\cos\left(x\right)} in a single fraction. Divide fractions \frac{\csc\left(x\right)}{\frac{\sin\left(x\right)+\cot\left(x\right)\cos\left(x\right)}{\cos\left(x\right)}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}. Simplify \csc\left(x\right)\cos\left(x\right) into \cot(x) by applying trigonometric identities.