Exercise
$\csc x\frac{\cos x}{\tan x}=\cot^2x$
Step-by-step Solution
Learn how to solve proving trigonometric identities problems step by step online. Prove the trigonometric identity csc(x)cos(x)/tan(x)=cot(x)^2. Starting from the left-hand side (LHS) of the identity. Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}. Multiplying fractions \frac{1}{\sin\left(x\right)} \times \frac{\cos\left(x\right)}{\tan\left(x\right)}. Apply the trigonometric identity: \frac{\cos\left(\theta \right)}{\sin\left(\theta \right)}=\cot\left(\theta \right).
Prove the trigonometric identity csc(x)cos(x)/tan(x)=cot(x)^2
Final answer to the exercise
true