Final Answer
$\frac{1}{\sin\left(x\right)}$
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Step-by-step Solution
Specify the solving method
1
Combine $\frac{\cos\left(x\right)^2}{\sin\left(x\right)}+\sin\left(x\right)$ in a single fraction
$\frac{\cos\left(x\right)^2+\sin\left(x\right)^2}{\sin\left(x\right)}$
2
Applying the pythagorean identity: $\sin^2\left(\theta\right)+\cos^2\left(\theta\right)=1$
$\frac{1}{\sin\left(x\right)}$
Why is sin(x)^2 + cos(x)^2 = 1 ?
Final Answer
$\frac{1}{\sin\left(x\right)}$