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.
$\tan\left(x\right)\sin\left(x\right)+\cos\left(x\right)$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity tan(x)sin(x)+cos(x)=sec(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)}. Multiplying the fraction by \sin\left(x\right). Combine all terms into a single fraction with \cos\left(x\right) as common denominator.