Exercise
$\frac{\tan\left(x\right)+\sin\left(x\right)\sec\left(x\right)}{\sin\left(x\right)}$
Step-by-step Solution
Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression (tan(x)+sin(x)sec(x))/sin(x). Applying the secant identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}. Multiplying the fraction by \sin\left(x\right). Apply the trigonometric identity: \frac{\sin\left(\theta \right)}{\cos\left(\theta \right)}=\tan\left(\theta \right). Combining like terms \tan\left(x\right) and \tan\left(x\right).
Simplify the trigonometric expression (tan(x)+sin(x)sec(x))/sin(x)
Final answer to the exercise
$2\sec\left(x\right)$