Free Printable Ratios & Graphs of Trigonometric Functions

1.

Which of the following is not the pair of angle $\theta$ and its corresponding reference angle, $\alpha$

a)

$\theta=206\degree\ ,\ \alpha=26\degree$

b)

$\theta=337\degree,\ \alpha=23\degree$

c)

$\theta=112\degree,\ \alpha=68\degree$

d)

$\theta=195\degree,\ \alpha=75\degree$

2.

The diagram below shows a unit circle. State the possible values of a and b.

a)

$a=0.9397,\ b=0.3420$

b)

$a=0.9397,\ b=-0.3420$

c)

$a=-0.9397,\ b=0.3420$

d)

$\alpha=-0.9397,\ b=-0.3420$

3.

Given $\cos\ x=\frac{3}{5}$ where $270\degree\le x\le360\degree.\$ find the values of $\tan\ x$

a)

$-\frac{4}{3}$

b)

$-\frac{3}{4}$

c)

$\frac{3}{4}$

d)

$\frac{4}{3}$

4.

Find the value of $\sin\ 30\degree-\cos\ 30\degree$

a)

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

b)

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

c)

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

d)

$-\frac{1+\sqrt{3}}{2}$

5.

The diagram below shows the graph of $y=\sin\ x$ and $y=\cos\ x$ . Find the value of k

a)

$45\degree$

b)

$210\degree$

c)

$225\degree$

d)

$315\degree$

6.

The diagram below shows the graph of a cosinus functions. What is the function of the graph?

a)

$y=\cos\ 2x$

b)

$y=4\cos\ \frac{1}{2}x$

c)

$y=4\ \cos\ \frac{2}{3}x$

d)

$y=4\ \cos\ 2x$

7.

Which graph represents $y=\cos\ x$ for $90\degree\le x\le270\degree$

a)

b)

c)

d)

8.

The diagram below shows a part of graph $y=\cos\ x$ . What is coordinate of R?

a)

$\left(110\degree,-0.5\right)$

b)

$\left(120\degree,-0.5\right)$

c)

$\left(150\degree,-0.5\right)$

d)

$\left(160\degree,-0.5\right)$

9.

Calculate the value of p of each of the following trigonometric function

(final answer only without unit)

(a)

10.

The diagram shows he height of an ocean tide. State the amplitud of the tide.

(a)

Ratios & Graphs of Trigonometric Functions

Total questions: 10

Worksheet time: 20mins

Similar Resources on Wayground