Final Answer
Step-by-step Solution
Specify the solving method
Starting from the left-hand side (LHS) of the identity
Combine all terms into a single fraction with $1+\sin\left(x\right)$ as common denominator
Learn how to solve trigonometric identities problems step by step online.
$1+\frac{-\cos\left(x\right)^2}{1+\sin\left(x\right)}$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity 1+(-cos(x)^2)/(1+sin(x))=sin(x). Starting from the left-hand side (LHS) of the identity. Combine all terms into a single fraction with 1+\sin\left(x\right) as common denominator. Apply the trigonometric identity: 1-\cos\left(\theta \right)^2=\sin\left(\theta \right)^2. Factor the polynomial \sin\left(x\right)^2+\sin\left(x\right) by it's greatest common factor (GCF): \sin\left(x\right).