Exercise
$\frac{\tan\left(x\right)}{\sec\left(x\right)-1}=\frac{\sec\:\left(x\right)-1}{\tan\:\left(x\right)}$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the trigonometric equation tan(x)/(sec(x)-1)=(sec(x)-1)/tan(x). Expand the fraction \frac{\sec\left(x\right)-1}{\tan\left(x\right)} into 2 simpler fractions with common denominator \tan\left(x\right). Apply the trigonometric identity: \frac{\sec\left(\theta \right)}{\tan\left(\theta \right)}=\csc\left(\theta \right). Move everything to the left hand side of the equation. The least common multiple (LCM) of a sum of algebraic fractions consists of the product of the common factors with the greatest exponent, and the uncommon factors.
Solve the trigonometric equation tan(x)/(sec(x)-1)=(sec(x)-1)/tan(x)
Final answer to the exercise
No solution