Exercise
$\frac{2}{1+sinx}=\left(sec\left(x\right)-tan\left(x\right)\right)^2+1$
Step-by-step Solution
Learn how to solve limits by direct substitution problems step by step online. Prove the trigonometric identity 2/(1+sin(x))=(sec(x)-tan(x))^2+1. 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(x\right).
Prove the trigonometric identity 2/(1+sin(x))=(sec(x)-tan(x))^2+1
Final answer to the exercise
true