Final Answer
true
Step-by-step Solution
Problem to solve:
$\frac{\sec\left(x\right)-1}{1-\cos\left(x\right)}=\sec\left(x\right)$
Specify the solving method
1
Starting from the left-hand side (LHS) of the identity
$\frac{\sec\left(x\right)-1}{1-\cos\left(x\right)}$
Learn how to solve differential calculus problems step by step online.
$\frac{\sec\left(x\right)-1}{1-\cos\left(x\right)}$
Learn how to solve differential calculus problems step by step online. Prove the trigonometric identity (sec(x)-1)/(1-cos(x))=sec(x). Starting from the left-hand side (LHS) of the identity. Applying the secant identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}. Combine all terms into a single fraction with \cos\left(x\right) as common denominator. Simplify the fraction \frac{\frac{1-\cos\left(x\right)}{\cos\left(x\right)}}{1-\cos\left(x\right)} by 1-\cos\left(x\right).
Final Answer
true