Exercise
$cot^4\left(\theta\right)csc^3\left(\theta\right)sec^2\left(\theta\right)$
Step-by-step Solution
Learn how to solve integrals of rational functions problems step by step online. Simplify the trigonometric expression cot(t)^4csc(t)^3sec(t)^2. Applying the secant identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}. Multiplying the fraction by \cot\left(\theta\right)^4\csc\left(\theta\right)^3. Rewrite \frac{\cot\left(\theta\right)^4\csc\left(\theta\right)^3}{\cos\left(\theta\right)^2} in terms of sine and cosine functions. When multiplying exponents with same base we can add the exponents.
Simplify the trigonometric expression cot(t)^4csc(t)^3sec(t)^2
Final answer to the exercise
$\csc\left(\theta\right)^{7}-\csc\left(\theta\right)^{5}$