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