The function f is given by $$f\left(\theta\right)\ =\ \tan\left(\theta-\frac{\pi}{4}\right)$$ . Which of the following is true for the graph of f?

All asymptotes of the graph of 𝑓 occur at input values $$\theta=\frac{3\pi}{4}+\pi k$$ , where 𝑘 is an integer.

All asymptotes of the graph of 𝑓 occur at input values $$\theta=\frac{\pi}{4}+\pi k$$ , where 𝑘 is an integer.

All asymptotes of the graph of 𝑓 occur at input values $$\theta=\frac{\pi}{4}+2\pi k$$ , where 𝑘 is an integer.

The functions f and g are given by $$f\left(\theta\right)=\csc\left(\theta\right)$$ and $$g\left(\theta\right)=\sin\left(\theta\right)$$ . For what values of θ on the interval [0,2π] does $$f\left(\theta\right)=g\left(\theta\right)$$ ?

$$\frac{\pi}{2}$$ and $$\frac{3\pi}{2}$$

$$\frac{\pi}{4}$$ and $$\frac{5\pi}{4}$$

The function f is given by $$f\left(\theta\right)=\ 2\cos^2\theta+3\sin\theta-3.$$ For what values on the interval [0, 2π] does $$f\left(\theta\right)=0?$$

$$\frac{\pi}{6}$$ , $$\frac{\pi}{2}$$ , and $$\frac{5\pi}{6}$$

$$\frac{\pi}{6}$$ and $$\frac{\pi}{2}$$ only

0, $$\frac{\pi}{3}$$ , $$\frac{5\pi}{3}$$ , and 2π

Pre-Cal Review A

Authored by Emilee Frazier

Mathematics

9th - 12th Grade

CCSS covered

Used 3+ times

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