# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

$\frac{\sec\left(x\right)-1}{1-\cos\left(x\right)}=\sec\left(x\right)$

Learn how to solve trigonometric equations problems step by step online.

$\sec\left(x\right)-1=\sec\left(x\right)\left(1-\cos\left(x\right)\right)$

Learn how to solve trigonometric equations problems step by step online. Solve the trigonometric equation (sec(x)-1)/(1-cos(x))=sec(x). Multiply both sides of the equation by 1-\cos\left(x\right). Applying the secant identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}. Applying the secant identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}. Multiply the fraction and term.

true
$\frac{\sec\left(x\right)-1}{1-\cos\left(x\right)}=\sec\left(x\right)$

### Main topic:

Trigonometric Equations

### Time to solve it:

~ 0.07 s (SnapXam)