Exercise
$\frac{1+\sin y}{1-\sin y}=\left(\sec y+\tan y\right)^{2}$
Step-by-step Solution
Learn how to solve factor by difference of squares problems step by step online. Prove the trigonometric identity (1+sin(y))/(1-sin(y))=(sec(y)+tan(y))^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(y\right).
Prove the trigonometric identity (1+sin(y))/(1-sin(y))=(sec(y)+tan(y))^2
Final answer to the exercise
true