Final answer to the problem
Step-by-step Solution
Specify the solving method
Expand the fraction $\frac{\csc\left(x\right)^2-1}{\csc\left(x\right)^2}$ into $2$ simpler fractions with common denominator $\csc\left(x\right)^2$
Learn how to solve simplify trigonometric expressions problems step by step online.
$\frac{\csc\left(x\right)^2}{\csc\left(x\right)^2}+\frac{-1}{\csc\left(x\right)^2}$
Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression (csc(x)^2-1)/(csc(x)^2). Expand the fraction \frac{\csc\left(x\right)^2-1}{\csc\left(x\right)^2} into 2 simpler fractions with common denominator \csc\left(x\right)^2. Simplify the resulting fractions. Applying the sine identity: \displaystyle\sin\left(\theta\right)=\frac{1}{\csc\left(\theta\right)}. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}.