Learn how to solve proving trigonometric identities problems step by step online. Prove the trigonometric identity sec(x)/(1/sin(x))=tan(x). Starting from the left-hand side (LHS) of the identity. Divide fractions \frac{\sec\left(x\right)}{\frac{1}{\sin\left(x\right)}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}. Applying the secant identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}. Multiplying the fraction by \sin\left(x\right).

Prove the trigonometric identity sec(x)/(1/sin(x))=tan(x)