Final Answer
true
Step-by-step Solution
Problem to solve:
$\csc\left(x\right)\cdot\tan\left(x\right)=\sec\left(x\right)$
Choose the solving method
1
Applying the cosecant identity: $\displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}$
$\frac{1}{\sin\left(x\right)}\tan\left(x\right)=\sec\left(x\right)$
Learn how to solve trigonometric identities problems step by step online.
$\frac{1}{\sin\left(x\right)}\tan\left(x\right)=\sec\left(x\right)$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity csc(x)tan(x)=sec(x). Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}. Multiply the fraction and term. Simplify \frac{\tan\left(x\right)}{\sin\left(x\right)}. Since both sides of the equality are equal, we have proven the identity.
Final Answer
true