Exercise
$\frac{csc^2-1}{csc^2}+sin^2$
Step-by-step Solution
Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression (csc(x)^2-1)/(csc(x)^2)+sin(x)^2. Applying the trigonometric identity: \csc\left(\theta \right)^2-1 = \cot\left(\theta \right)^2. Apply the trigonometric identity: \cot(x)=\frac{\cos(x)}{\sin(x)}. Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}. We can simplify the quotient of fractions \frac{\frac{\cos\left(x\right)^2}{\sin\left(x\right)^2}}{\frac{1}{\sin\left(x\right)^2}} by inverting the second fraction and multiply both fractions.
Simplify the trigonometric expression (csc(x)^2-1)/(csc(x)^2)+sin(x)^2
Final answer to the exercise
$1$