Exercise
$\frac{1}{\csc t+\cot t}+\cot t$
Step-by-step Solution
Learn how to solve differential equations problems step by step online. Simplify the trigonometric expression 1/(csc(t)+cot(t))+cot(t). Combine all terms into a single fraction with \csc\left(t\right)+\cot\left(t\right) as common denominator. Solve the product \cot\left(t\right)\left(\csc\left(t\right)+\cot\left(t\right)\right). When multiplying two powers that have the same base (\cot\left(t\right)), you can add the exponents. Solve the product \cot\left(t\right)\left(\csc\left(t\right)+\cot\left(t\right)\right).
Simplify the trigonometric expression 1/(csc(t)+cot(t))+cot(t)
Final answer to the exercise
$\csc\left(t\right)$