Free Printable MCR3U1 - Online Quiz #2

1.

Find the exact value of $\sin135\degree$ in fully simplified form.

a)

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

b)

$-\sqrt{2}$

c)

$-\frac{\sqrt{2}}{2}$

d)

$\sqrt{2}$

e)

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

2.

Find the exact value of $\cos330\degree$ in fully simplified form.

a)

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

b)

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

c)

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

d)

$\sqrt{3}$

e)

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

3.

Simplify the expression $\left(\sin45\degree\right)^2+\left(\cos45\degree\right)^2$ to fully simplified form.

a)

$\frac{45}{7}$

b)

$3\pi r^2$

c)

$90$

d)

$1$

e)

$0$

4.

Simplify the expression $\left(\sin30\degree\right)^2+\left(\cos45\degree\right)^2$ to fully simplified form.

a)

$\frac{1}{6}$

b)

$\frac{1}{8}$

c)

$15\degree$

d)

$75\degree$

e)

$\frac{3}{4}$

5.

Find the principal angle for $16335\degree$ .

a)

$45\degree$

b)

$-45\degree$

c)

$225\degree$

d)

$-225\degree$

e)

$135\degree$

6.

Find the exact value of $\tan16335\degree$ in fully simplified form .

a)

$\frac{-\sqrt{2}}{2}$

b)

$-1$

c)

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

d)

$1$

e)

Does not exist

7.

Find terminal arm of $-450\degree$ lies

a)

on the positive x-axis.

b)

on the negative x-axis .

c)

on the positive y-axis.

d)

on the negative y-axis.

e)

in quadrant III.

8.

The principal angle (PA) of $-450\degree$ is

a)

$180\degree$

b)

$90\degree$

c)

$50\degree$

d)

$45\degree$

e)

$270\degree$

9.

The functions $y=\sin\theta$ and $y=\cos\theta$ are Periodic functions because they

a)

are special and are better than all other functions, requiring them to have a classification of Periodic.

b)

they repeat, or cycle through a defined pattern, every 360 degrees.

c)

they were discovered during the early modern period, in Europe est 1459-1873.

d)

were discovered by Horatio T. Spudnickmeister, who loved having a period follow his middle initial.

e)

because they just are........period.

10.

Consider the function $f\left(\theta\right)=\sin\theta$ . When will this function be "positive" during the its first cycle, meaning for $0\degree\le\theta\le360\degree$ ?

a)

the function will be positive for $0\degree\le\theta\le90\degree$ .

b)

the function will be positive for $0\degree\le\theta\le180\degree$ .

c)

the function will be positive for $0\degree\le\theta\le270\degree$

d)

the function will be positive for $90\degree\le\theta\le270\degree$

e)

the function will be positive for $180\degree\le\theta\le360\degree$

MCR3U1 - Online Quiz #2

Total questions: 10

Worksheet time: 3hrs 30mins

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