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Write the following in terms of sin(x) and cos(x), and then simplify if possible. Leave your answer in terms of sines and cosines only. csc(x)cot(x)=

Write the following in terms of sin⁡(x) \sin (x) and cos⁡(x) \cos (x) , and then simplify if possible. Leave your answer in terms of sines and cosines only.\newlinecsc⁡(x)cot⁡(x)= \csc (x) \cot (x)=

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Q. Write the following in terms of sin⁡(x) \sin (x) and cos⁡(x) \cos (x) , and then simplify if possible. Leave your answer in terms of sines and cosines only.\newlinecsc⁡(x)cot⁡(x)= \csc (x) \cot (x)=
  1. Identify identities: Identify the trigonometric identities for csc(x)csc(x) and cot(x)cot(x).csc(x)=1sin⁡(x)csc(x) = \frac{1}{\sin(x)}, cot(x)=cos⁡(x)sin⁡(x)cot(x) = \frac{\cos(x)}{\sin(x)}.
  2. Multiply identities: Multiply the identities to simplify csc(x)cot(x)csc(x)cot(x).csc(x)cot(x)=1sin⁡(x)×cos⁡(x)sin⁡(x)csc(x)cot(x) = \frac{1}{\sin(x)} \times \frac{\cos(x)}{\sin(x)}.
  3. Simplify expression: Simplify the expression by multiplying the fractions. csc⁡(x)cot⁡(x)=cos⁡(x)sin⁡2(x)\csc(x)\cot(x) = \frac{\cos(x)}{\sin^2(x)}.

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