Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression (csc(x)+sin(x))/csc(x). Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}. Combine all terms into a single fraction with \sin\left(x\right) as common denominator. When multiplying two powers that have the same base (\sin\left(x\right)), you can add the exponents. Divide fractions \frac{\frac{1+\sin\left(x\right)^2}{\sin\left(x\right)}}{\csc\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}.

Simplify the trigonometric expression (csc(x)+sin(x))/csc(x)