Exercise
$\frac{cos\left(-x\right)\cot\left(-x\right)}{\csc\left(x\right)}$
Step-by-step Solution
Learn how to solve problems step by step online. Simplify the trigonometric expression (cos(-x)cot(-x))/csc(x). Use the odd-even identity \cos(-\theta)=\cos(\theta). Use the odd-even identity \cot(-\theta)=-\cot(\theta). Applying the trigonometric identity: \cot\left(\theta \right) = \frac{\cos\left(\theta \right)}{\sin\left(\theta \right)}. Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}.
Simplify the trigonometric expression (cos(-x)cot(-x))/csc(x)
Final answer to the exercise
$-\cos\left(x\right)^2$