Identify the amplitude and period of the function: $$y=\frac{1}{4}\cos\ 4x$$ (You can check this in Desmos, right?)

amplitude = $$\frac{1}{4}$$ Period = $$\frac{\pi}{2}$$

amplitude = $$4$$ Period = $$2\pi\ $$

amplitude = $$\frac{1}{4}$$ Period = $$2\pi\ $$

amplitude = $$4$$ Period = $$\frac{\pi}{2}\ $$

For which value is $$\cot\left(\theta\ \right)=0$$ and why?

$$\theta\ =-\frac{\pi}{2}\ $$ because $$\cos\left(-\frac{\pi}{2}\right)=0\ $$

$$\theta\ =0$$ because $$\sin\left(0\right)=0$$

$$\theta\ =\pi\ $$ because $$\cos\left(\pi\ \right)=0$$

$$\theta\ =2\pi\ $$ because $$\sin\left(2\pi\ \right)=0$$

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Chapter 9 Review

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HSG.SRT.C.6, HSF.TF.A.2, HSF-IF.C.7E

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Mike Mariotti

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CCSS.HSG.SRT.C.6

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