Free Printable MHF 4U Trig and Trig Functions Review

1.

$\pi\div6$ is how many degrees?

(a)

2.

$-\frac{3\pi}{5}$ is how many degrees

(a)

3.

A solution for sin x = 0.5 is

a)

$\frac{\pi}{3}$

b)

$\frac{\pi}{6}$

c)

$\pi$

d)

0

4.

The exact value of $\left(\frac{\sin\pi}{3}\right)\left(\frac{\cos2\pi}{3}\right)$ is

a)

$\frac{1}{2}$

b)

$-\frac{1}{2}$

c)

$\frac{-\sqrt[]{3}}{4}$

d)

$\frac{\sqrt[]{3}}{4}$

5.

Using your trig identities, complete the equation $\sin40\degree=\cos\ \ \ \ \degree_{ }$

(a)

6.

If $\csc\ x\ =\ 5,\ then\ \sin\ x\ =\$

(a)

7.

The exact value of $\sin\ \frac{7\pi}{12}$ is

a)

0.03

b)

$\frac{\sqrt[]{3}-1}{2\sqrt[]{2}}$

c)

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

d)

$\frac{\sqrt[]{3}+1}{2\sqrt[]{2}}$

8.

A single trig expression for $\left(\sin\ \frac{\pi}{4}\ \right)\left(\cos\ \frac{\pi}{12}\right)+\ \left(\cos\ \frac{\pi}{4}\right)\left(\ \frac{\sin\pi}{12}\right)$ is:

a)

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

b)

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

c)

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

d)

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

9.

A single trig expression for $\left(\cos\ \frac{3\pi}{5}\right)\left(\cos\ \frac{\pi}{15}\right)-\left(\sin\ \frac{3\pi}{5}\right)\left(\sin\ \frac{\pi}{15}\right)$ is:

a)

$\sin\ \frac{8\pi}{15}$

b)

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

c)

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

d)

$\cos\ \frac{8\pi}{15}$

10.

For all values of x, tan x =

a)

$\frac{\sin x}{\cos x}$

b)

$\cot x$

c)

$\frac{\cos x}{\sin x}$

d)

$\frac{1}{\tan x}$

11.

1.25 radians is equal to approximately

a)

$25\degree$

b)

$225\degree$

c)

$137\degree$

d)

$72\degree$

12.

The maximum value of the function $y=3\sin x+5$

(a)

13.

The period of the function $y=4\cos\left(2x-\pi\right)$ is (a)

14.

Compared to $y=\sin x$ , the graph $y=\sin\left(3x-\pi\right)+\ 1$ has a phase shift of

a)

$\pi\ right$

b)

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

c)

$\pi right$

d)

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

15.

The x-intercept(s) of y = cos x for domain [0,2pi] is/are:

a)

$\pi$

b)

$0\ and\ 2\pi$

c)

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

d)

none

16.

For the domain $\left[0,2\pi\right]$ the max value of the function $y=2\sin\left(x-\frac{\pi}{4}\right)+\ 1$ occurs at:

a)

0

b)

$\pi$

c)

$\frac{3\pi}{4}$

d)

$3$

17.

The minimum value of the graph $y=-2\sin4x-8$ is

(a)

18.

A solution for $\sin^2x\ -\ 1\ =\ 0$ is

a)

$\frac{\pi}{2}$

b)

$2\pi$

c)

$\pi$

d)

$\frac{\pi}{4}$

19.

If cos x = 0.7, the solutions are approximately ( for domain $\left[0,2\pi\right]$ ) :

a)

0.78 and 2.36

b)

0.80 and 5.49

c)

45.6 and 134.4

d)

0.80 and 3.94

20.

The height, h, in meters, of Rowan on a Ferris wheel is given by:

$h\left(t\right)\ =\ 22.5\ \sin\left(\frac{\pi t}{30}\right)+25$ (t is time in seconds)

The maximum height that Rowan reaches and the time that it takes for the Ferris wheel to make a complete revolution are:

a)

2.5 meters and 30 seconds

b)

22.5 meters and 60 seconds

c)

47.5 and 30 seconds

d)

47.5 meters and 60 seconds

MHF 4U Trig and Trig Functions Review

Total questions: 20

Worksheet time: 55mins

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