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Exercise

tan(x)2+cot(x)2\sqrt{tan\left(x\right)^2+cot\left(x\right)^2}

Step-by-step Solution

1

Apply the trigonometric identity: cot⁡(x)=cos⁡(x)sin⁡(x)\cot(x)=\frac{\cos(x)}{\sin(x)}

tan⁡(x)2+cos⁡(x)2sin⁡(x)2\sqrt{\tan\left(x\right)^2+\frac{\cos\left(x\right)^2}{\sin\left(x\right)^2}}
Why is cot(x) = cos(x)/sin(x) ?

Final answer to the exercise

tan⁡(x)2+cos⁡(x)2sin⁡(x)2\sqrt{\tan\left(x\right)^2+\frac{\cos\left(x\right)^2}{\sin\left(x\right)^2}}

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√tan(x)2+cot(x)2
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