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Exercise

$f\left(x\right)=\frac{\cot\left(x\right)-\csc\left(x\right)}{\cot\left(x\right)+\csc\left(x\right)}$

Step-by-step Solution

1

Apply the trigonometric identity: $\cot\left(\theta \right)-\csc\left(\theta \right)$$=-\tan\left(\frac{\theta }{2}\right)$

$f\left(x\right)=\frac{-\tan\left(\frac{x}{2}\right)}{\cot\left(x\right)+\csc\left(x\right)}$

Final answer to the exercise

$f\left(x\right)=\frac{-\tan\left(\frac{x}{2}\right)}{\cot\left(x\right)+\csc\left(x\right)}$

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Main Topic: Algebraic expressions

An algebraic expression is a group of terms that are separated by $+$ or $-$ signs.

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