Test your understanding of the common trigonometric values for , , and , especially for the special angles:
\(0^\circ, 30^\circ, 45^\circ, 60^\circ,\) and \(90^\circ\)
Try to answer the questions before checking the answers at the bottom of the page.
Question 1
Find \(\sin(30^\circ)\)
a) \(1\)
b) \(\frac{1}{2}\)
c) \(\frac{\sqrt 3}{2}\)
Question 2
Find \(\cos(60^\circ)\)
a) \(\frac{1}{2}\)
b) \(\frac{\sqrt 3}{2}\)
c) \(0\)
Question 3
Find \(\tan(45^\circ)\)
a) \(0\)
b) \(1\)
c) \(\sqrt 3\)
Question 4
Find \(\tan(30^\circ)\)
a) \(\frac{1}{\sqrt 3}\)
b) \(\sqrt 3\)
c) \(1\)
Question 5
Find \(\tan(90^\circ)\)
a) \(0\)
b) \(1\)
c) undefined
Question 6
Find \(sin(60^\circ)\)
a) \(\frac{1}{2}\)
b) \(\frac{1}{\sqrt{2}}\)
c) \(\frac{\sqrt{3}}{2}\)
Question 7
Find \(\cos(30^\circ)\)
a) \(\frac{1}{2}\)
b) \(\frac{\sqrt{3}}{2}\)
c) \(1\)
Question 8
Find \(\sin(45^\circ)
a) \(\frac{1}{\sqrt{2}}\)
b) \(\frac{\sqrt{3}}{2}\)
c) \(1\)
Question 9
Find \(\tan(60^\circ)\)
a) \(\frac{1}{\sqrt{3}}\)
b) \(1\)
c) \(\sqrt{3}\)
Question 10
Which statement is correct?
a) \(\sin(90^\circ) = 0\) and \(\cos(90^\circ) = 1\)
b) \(\sin(90^\circ) = 1\) and \(\cos(90^\circ) = 0\)
c) \(\sin(90^\circ) = \frac{1}{2}\) and \(\cos(90^\circ) = \frac{1}{2}\)
Answers
1. b) \(\frac{1}{2}\)
2. a) \(\frac{1}{2}\)
3. b) \(1\)
4. a) \(\frac{1}{\sqrt 3}\)
5. c) undefined
6. c) \(\frac{\sqrt{3}}{2}\)
7. b) \(\frac{\sqrt{3}}{2}\)
8. a) \(\frac{1}{\sqrt{2}}\)
9. c) \(\sqrt{3}\)
10. b) \(\sin(90^\circ) = 1\) and \(\cos(90^\circ) = 0\)
Practice
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