Quiz about Core Graphing Sine and Cosine

Question 1

Which of the following is true?

Accepted Answer

$$y=-2\cos x$$ has a y-intercept of (0,-2)

Answer

$$y=\cos\left(x\right)$$ is an ODD function

Answer

$$y=2\cos x$$ has a domain of [-2,2]

Answer

$$y=-3\sin\left(x\right)$$ has a y-intercept of (0,-3)

Answer

$$y=\sin\left(x\right)\ $$ has an x-intercept at $$\left(\frac{π}{2},0\right)$$

Question 2

What is the equation of the blue graph?

Accepted Answer

y = sin(x) - 2

Answer

y = 2sin x

Answer

y = sin(2x)

Answer

y = sin(x + 2)

Answer

y = sin(x - 2)

Question 3

Half of the height from max to min

Accepted Answer

amplitude

Answer

period

Answer

symmetry

Answer

coterminal

Answer

quadrantal

Question 4

Number of units to complete one wave or cycle

Accepted Answer

period

Answer

quadrantal

Answer

amplitude

Answer

terminal side

Answer

coterminal

Question 5

$$\cos\left(\frac{\pi}{4}\right)$$

Accepted Answer

$$\frac{1}{\sqrt{2}}$$

Answer

$$\frac{1}{2}$$

Answer

$$\frac{1}{\sqrt{3}}$$

Answer

$$\frac{\sqrt{3}}{2}$$

Answer

$$\sqrt{3}$$

Question 6

$$ an\left(\frac{\pi}{3} ight)$$

Accepted Answer

$$\sqrt{3}$$

Answer

$$\frac{1}{2}$$

Answer

$$\frac{1}{\sqrt{2}}$$

Answer

$$\frac{1}{\sqrt{3}}$$

Answer

$$\frac{\sqrt{3}}{2}$$

Question 7

$$\sin\left(\frac{\pi}{3}\right)$$

Accepted Answer

$$\frac{\sqrt{3}}{2}$$

Answer

$$\frac{1}{2}$$

Answer

$$\frac{1}{\sqrt{2}}$$

Answer

$$\frac{1}{\sqrt{3}}$$

Answer

$$\sqrt{3}$$

Question 8

$$ an\left(\frac{\pi}{6} ight)$$

Accepted Answer

$$\frac{1}{\sqrt{3}}$$

Answer

$$\frac{1}{2}$$

Answer

$$\frac{1}{\sqrt{2}}$$

Answer

$$\frac{\sqrt{3}}{2}$$

Answer

$$\sqrt{3}$$

Question 9

Find the acute angle $$ heta$$ , such that $$\cos heta=\frac{1}{2}$$ .

Accepted Answer

$$\frac{\pi}{3}$$

Answer

$$\frac{\pi}{2}$$

Answer

$$\frac{\pi}{4}$$

Answer

$$\frac{\pi}{6}$$

Question 10

Find the acute angle $$ heta$$ , such that $$ an heta=1$$ .

Accepted Answer

$$\frac{\pi}{4}$$

Answer

$$\frac{\pi}{6}$$

Answer

$$\frac{\pi}{3}$$

Answer

$$\frac{\pi}{2}$$

Core Graphing Sine and Cosine

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