Learn how to solve simplification of algebraic expressions problems step by step online. Simplify the trigonometric expression (tan(x)-sin(x))/(sin(x)^2). Expand the fraction \frac{\tan\left(x\right)-\sin\left(x\right)}{\sin\left(x\right)^2} into 2 simpler fractions with common denominator \sin\left(x\right)^2. Simplify the resulting fractions. Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}. Applying the tangent identity: \displaystyle\tan\left(\theta\right)=\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}.

Simplify the trigonometric expression (tan(x)-sin(x))/(sin(x)^2)