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s centered at -2 for f(x)=(2)/(6-x)

s centered at −2-2 for f(x)=26−x f(x)=\frac{2}{6-x}

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Full solution

Q. s centered at −2-2 for f(x)=26−x f(x)=\frac{2}{6-x}
  1. Express csc⁡(θ)\csc(\theta): Express csc⁡(θ)\csc(\theta) in terms of sin⁡(θ)\sin(\theta), cuz csc⁡(θ)\csc(\theta) is just 1sin⁡(θ)\frac{1}{\sin(\theta)}.
  2. Plug in csc⁡(θ)\csc(\theta): Now plug that in, so we got sin⁡(θ)1/sin⁡(θ)\frac{\sin(\theta)}{1/\sin(\theta)}.
  3. Simplify the expression: Time to simplify, just multiply sin⁡(θ)\sin(\theta) by sin⁡(θ)1\frac{\sin(\theta)}{1}, and we get sin⁡2(θ)\sin^2(\theta).

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