Which statement is NOT true for the function f given by $$f\left(\theta\right)=\sin\left(\theta\right)$$ , for values of $$\theta$$ between 0 and $$2\pi$$ ?

$$\sin\left(\theta\right)=0$$ only when $$\theta=0$$

$$\sin\left(\theta\right)=1$$ only when $$\theta=\frac{\pi}{2}$$

$$\sin\left(\theta\right)>0$$ for $$0

Which statements are true for BOTH functions $$y=\sin\left(\theta\right)$$ and $$y=\cos\left(\theta\right)$$ ? Select ALL that apply.

The function has a value of $$\frac{\sqrt[]{2}}{2}$$ when $$\theta=\frac{\pi}{4}$$ .

The maximum value occurs at $$\theta=0$$

Which of these statements are true about the function f given by $$f\left(\theta\right)=\sin\left(\theta\right)$$ ? Select ALL that apply.

The graph crosses the x-axis at $$0,\pm\pi,\pm2\pi,...$$

The value of y always stays the same when $$2\pi$$ radians is added to the input

The value of y always stays the same when $$-2\pi$$ radians is added to the input

The graph has a maximum at $$\theta=\frac{5\pi}{2}$$ .

The value of y always stays the same when $$\pi$$ radians is added to the input

The function f is given by $$f\left(\theta\right)=\tan\left(\theta\right)$$ . Which of the statements are true? Select ALL that apply.

The range of f is all real numbers

The domain of f is all real numbers

Which expression value is the same as $$\cos\left(\theta\right)$$ when $$\theta=0,\ \frac{\pi}{2},\ \pi,\ and\ \frac{3\pi}{2}$$ ?

$$\sin\left(\theta+\frac{\pi}{2}\right)$$

$$\sin\left(\theta-\frac{\pi}{2}\right)$$

$$\sin\left(\theta-\pi\right)$$

$$\sin\left(\theta+\pi\right)$$

What trigonometric equation does the graph represent?

$$y=2\cos\left(\theta-\frac{\pi}{4}\right)$$

$$y=2\cos\left(\theta+\frac{\pi}{4}\right)$$

$$y=2\sin\left(\theta-\frac{\pi}{4}\right)$$

Select ALL the functions that have a period of $$\pi$$ .

$$y=\cos\left(\frac{x}{2}\right)$$

$$y=\sin\left(\frac{x}{2}\right)$$

PCT - Trig Graphs Review

Quiz

•

Mathematics

•

11th Grade

•

Practice Problem

•

Medium

•

CCSS

HSF-IF.C.7E, HSF.TF.B.7, HSF.TF.A.2

+2

Standards-aligned

Lucas Boyd

Used 9+ times

FREE Resource

17 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

The range of the function is from -1 to 1

Tags

CCSS.HSF.TF.B.7

2.

MULTIPLE SELECT QUESTION

15 mins • 1 pt

Tags

CCSS.HSF.TF.B.7

3.

MATCH QUESTION

15 mins • 1 pt

Match the following

Graph 1

Not Pictured

Graph 2

Tags

CCSS.HSF-IF.C.7E

4.

MULTIPLE SELECT QUESTION

15 mins • 1 pt

The maximum value is 1

The minimum value is 0.

Tags

CCSS.HSF-IF.C.7E

5.

HOTSPOT QUESTION

15 mins • 1 pt

Tags

CCSS.HSF.TF.B.7

6.

MULTIPLE SELECT QUESTION

15 mins • 1 pt

For which of these angles is the sine negative? Select ALL that apply.

Tags

CCSS.HSF.TF.A.2

7.

MULTIPLE SELECT QUESTION

15 mins • 1 pt

Tags

CCSS.HSF.TF.A.4

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Match the following

For which of these angles is the sine negative? Select ALL that apply.

In which quadrant are both the sine and the tangent negative?

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