Learn how to solve problems step by step online. Prove the trigonometric identity (1+sin(t))/(1-sin(t))=(sec(t)+tan(t))^2. Starting from the right-hand side (RHS) of the identity. Applying the tangent identity: \displaystyle\tan\left(\theta\right)=\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}. Applying the secant identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}. Combine fractions with common denominator \cos\left(t\right).

Prove the trigonometric identity (1+sin(t))/(1-sin(t))=(sec(t)+tan(t))^2