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Mathematics

11th Grade

CCSS covered

Used 11+ times

PCT - Trig Graphs Review
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17 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which statement is NOT true for the function f given by f(θ)=sin⁡(θ)f\left(\theta\right)=\sin\left(\theta\right) , for values of θ\theta between 0 and 2π2\pi ?

The range of the function is from -1 to 1

sin⁡(θ)=1\sin\left(\theta\right)=1 only when θ=π2\theta=\frac{\pi}{2}

sin⁡(θ)=0\sin\left(\theta\right)=0 only when θ=0\theta=0

sin⁡(θ)>0\sin\left(\theta\right)>0 for 0<θ<π0<\theta<\pi

Tags

CCSS.HSF.TF.B.7

2.

MULTIPLE SELECT QUESTION

15 mins • 1 pt

Angle θ\theta , measured in radians, satisfies cos⁡(θ)=0\cos\left(\theta\right)=0 . What could the value of θ\theta be? Select ALL the answers that apply.

00

π4\frac{\pi}{4}

π2\frac{\pi}{2}

π\pi

3π2\frac{3\pi}{2}

Tags

CCSS.HSF.TF.B.7

3.

MATCH QUESTION

15 mins • 1 pt

Media Image

Match the following

Graph 1

cos⁡(x)\cos\left(x\right)

Not Pictured

tan⁡(x)\tan\left(x\right)

Graph 2

sin⁡(x)\sin\left(x\right)

Tags

CCSS.HSF-IF.C.7E

4.

MULTIPLE SELECT QUESTION

15 mins • 1 pt

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

The period is 2π2\pi

The maximum value is 1

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

The function has a value of 22\frac{\sqrt[]{2}}{2} when θ=π4\theta=\frac{\pi}{4} .

The minimum value is 0.

Tags

CCSS.HSF-IF.C.7E

5.

HOTSPOT QUESTION

15 mins • 1 pt

Plot the points on the graph where sin⁡(θ)= 22\sin\left(\theta\right)=\frac{\ \sqrt[]{2}}{2}

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.

−π4-\frac{\pi}{4}

−π3-\frac{\pi}{3}

−2π3-\frac{2\pi}{3}

−4π3-\frac{4\pi}{3}

−11π6-\frac{11\pi}{6}

Tags

CCSS.HSF.TF.A.2

7.

MULTIPLE SELECT QUESTION

15 mins • 1 pt

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

The graph crosses the x-axis at 0,±π,±2π,...0,\pm\pi,\pm2\pi,...

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

The value of y always stays the same when 2π2\pi radians is added to the input

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

The graph has a maximum at θ=5π2\theta=\frac{5\pi}{2} .

Tags

CCSS.HSF.TF.A.4

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