Free Printable TRIGONOMETRIC POINTS AND UNIT CIRCLE

1.

What is the coordinate of the trigonometric point $P\left(0\right)$

a)

$\left(1,\ 0\right)$

b)

$\left(0,\ 1\right)$

c)

$\left(0,\ -1\right)$

d)

$\left(-1,\ 0\right)$

2.

What is the coordinate of the trigonometric point $p\left(\frac{\pi}{2}\right)$

a)

$\left(0,\ 1\right)$

b)

$\left(1,\ 0\right)$

c)

$\left(0,\ -1\right)$

d)

$\left(-1,\ 0\right)$

3.

What is the coordinate of the trigonometric point $P\left(\pi\right)$

a)

$\left(-1,\ 0\right)$

b)

$\left(0,\ -1\right)$

c)

$\left(1,\ 0\right)$

d)

$\left(0,\ 1\right)$

4.

What is the coordinate of the trigonometric point $P\left(\frac{3\pi}{2}\right)$

a)

$\left(0,\ -1\right)$

b)

$\left(-1,\ 0\right)$

c)

$\left(0,\ 1\right)$

d)

$\left(1,\ 0\right)$

5.

What is the coordinate of the trigonometric point $P\left(2\pi\right)$

a)

$\left(1,\ 0\right)$

b)

$\left(0,\ 1\right)$

c)

$\left(-1,\ 0\right)$

d)

$\left(0,\ -1\right)$

6.

What is the coordinate of the trigonometric point $P\left(-\frac{\pi}{2}\right)$

a)

$\left(0,\ -1\right)$

b)

$\left(-1,\ 0\right)$

c)

$\left(0,\ 1\right)$

d)

$\left(1,\ 0\right)$

7.

$P\left(-\pi\right)$ What is the coordinate of the trigonometric point

a)

$\left(-1,\ 0\right)$

b)

$\left(0,\ -1\right)$

c)

$\left(1,\ 0\right)$

d)

$\left(0,\ 1\right)$

8.

What is the coordinate for the trigonometric point $P\left(-\frac{3\pi}{2}\right)$

a)

$\left(0,\ 1\right)$

b)

$\left(1,\ 0\right)$

c)

$\left(-1,\ 0\right)$

d)

$\left(0,\ -1\right)$

9.

What is the coordinate of the trigonometric point $P\left(\frac{\pi}{4}\right)$

a)

$\left(\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right)$

b)

$\left(-\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right)$

c)

$\left(\frac{\sqrt{2}}{2},-\frac{\sqrt{2}}{2}\right)$

d)

$\left(-\frac{\sqrt{2}}{2},-\frac{\sqrt{2}}{2}\right)$

10.

What is the coordinate of the the trigonometric point $P\left(\frac{3\pi}{4}\right)$

a)

$\left(\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right)$

b)

$\left(-\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right)$

c)

$\left(\frac{\sqrt{2}}{2},-\frac{\sqrt{2}}{2}\right)$

d)

$\left(-\frac{\sqrt{2}}{2},-\frac{\sqrt{2}}{2}\right)$

11.

What is the coordinate of the trigonometric point $P\left(\frac{5\pi}{4}\right)$

a)

$\left(-\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right)$

b)

$\left(\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right)$

c)

$\left(\frac{\sqrt{2}}{2},-\frac{\sqrt{2}}{2}\right)$

d)

$\left(-\frac{\sqrt{2}}{2},-\frac{\sqrt{2}}{2}\right)$

12.

What is the coordinate of the trigonometric point $P\left(\frac{7\pi}{4}\right)$

a)

$\left(\frac{\sqrt{2}}{2},-\frac{\sqrt{2}}{2}\right)$

b)

$\left(\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right)$

c)

$\left(-\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right)$

d)

$\left(-\frac{\sqrt{2}}{2},-\frac{\sqrt{2}}{2}\right)$

13.

What is the coordinate of the trigonometric point $P\left(\frac{\pi}{3}\right)$

a)

$\left(\frac{1}{2},\ \frac{\sqrt{3}}{2}\right)$

b)

$\left(\ \frac{\sqrt{3}}{2},\ \frac{1}{2}\right)$

c)

$\left(-\frac{1}{2},-\frac{\sqrt{3}}{2}\right)$

d)

$\left(\ -\frac{\sqrt{3}}{2},\ -\frac{1}{2}\right)$

14.

What is the coordinate of the trigonometric point $P\left(\frac{2\pi}{3}\right)$

a)

$\left(-\frac{1}{2},\ \frac{\sqrt{3}}{2}\right)$

b)

$\left(-\frac{1}{2},-\ \frac{\sqrt{3}}{2}\right)$

c)

$\left(\frac{1}{2},\ \frac{\sqrt{3}}{2}\right)$

d)

$\left(\frac{1}{2},\ -\frac{\sqrt{3}}{2}\right)$

15.

What is the coordinate of the trigonometric point $P\left(\frac{5\pi}{3}\right)$

a)

$\left(-\frac{1}{2},\ -\frac{\sqrt{3}}{2}\right)$

b)

$\left(\frac{1}{2},\ -\frac{\sqrt{3}}{2}\right)$

c)

$\left(-\frac{1}{2},\ \frac{\sqrt{3}}{2}\right)$

d)

$\left(\frac{1}{2},\ \frac{\sqrt{3}}{2}\right)$

16.

What is the coordinate of the trigonometric point $P\left(\frac{\pi}{6}\right)$

a)

$\left(-\frac{\sqrt{3}}{2},\ -\frac{1}{2}\right)$

b)

$\left(\frac{\sqrt{3}}{2},\ -\frac{1}{2}\right)$

c)

$\left(-\frac{\sqrt{3}}{2},\ \frac{1}{2}\right)$

d)

$\left(\frac{\sqrt{3}}{2},\ \frac{1}{2}\right)$

17.

What is the cooridnate of the the trigonometric point $P\left(\frac{7\pi}{6}\right)$

a)

$\left(-\frac{\sqrt{3}}{2},\ -\frac{1}{2}\right)$

b)

$\left(\frac{\sqrt{3}}{2},\ -\frac{1}{2}\right)$

c)

$\left(-\frac{\sqrt{3}}{2},\ \frac{1}{2}\right)$

d)

$\left(\frac{\sqrt{3}}{2},\ \frac{1}{2}\right)$

18.

What is the coordinate of the trigonometric point $P\left(\frac{5\pi}{6}\right)$

a)

$\left(-\frac{\sqrt{3}}{2},\ -\frac{1}{2}\right)$

b)

$\left(-\frac{\sqrt{3}}{2},\ \frac{1}{2}\right)$

c)

$\left(\frac{\sqrt{3}}{2},\ -\frac{1}{2}\right)$

d)

$\left(\frac{\sqrt{3}}{2},\ \frac{1}{2}\right)$

19.

Which of the following points is in the unit circle?

a)

$\left(-\frac{\sqrt{2}}{2},\ -\frac{\sqrt{2}}{2}\right)$

b)

$\left(\frac{\sqrt{2}}{3},\ -\frac{\sqrt{2}}{3}\right)$

c)

$\left(\frac{1}{2}\ ,\frac{1}{2}\right)$

d)

$\left(\frac{3}{2}\ ,\ \frac{2}{3}\right)$

20.

What is the radius of the unit circle?

a)

0

b)

1

c)

1/2

d)

√2/2

21.

$What\ is\ \cos\ \frac{3\pi}{4}\ =?\ \$

a)

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

b)

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

c)

$\frac{1}{2}$

d)

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

22.

$What\ is\ \sin\ \frac{3\pi}{4}\ =?\ \$

a)

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

b)

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

c)

$\frac{1}{2}$

d)

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

23.

$What\ is\ \tan\ \frac{3\pi}{4}\ =?\ \$

a)

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

b)

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

c)

$\frac{1}{2}$

d)

$1$

24.

$What\ is\ \sec\ \frac{3\pi}{4}\ =?\ \$

a)

$-\sqrt[]{2}$

b)

$\sqrt[]{2}$

c)

$2$

d)

$1$

25.

$What\ is\ \csc\ \frac{3\pi}{4}\ =?\ \$

a)

$-\sqrt[]{2}$

b)

$\sqrt[]{2}$

c)

$2$

d)

$1$

26.

$What\ is\ \cot\ \frac{3\pi}{4}\ =?\ \$

a)

$-\sqrt[]{2}$

b)

$\sqrt[]{2}$

c)

$2$

d)

$-1$

27.

$What\ is\ \sin\ 90\degree\ =?\ \$

a)

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

b)

$1$

c)

$\frac{1}{2}$

d)

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

28.

$What\ is\ \cos90\degree\ =?\ \$

a)

$undefined$

b)

$1$

c)

$0$

d)

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

29.

$What\ is\ \tan\ 90\degree\ =?\ \$

a)

$undefined$

b)

$1$

c)

$-\frac{1}{2}$

d)

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

30.

$What\ is\ \sec\ 90\degree\ =?\ \$

a)

$undefined$

b)

$1$

c)

$-\frac{1}{2}$

d)

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

31.

$What\ is\ \csc\ 90\degree\ =?\ \$

a)

$undefined$

b)

$1$

c)

$-\frac{1}{2}$

d)

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

32.

$What\ is\ \cot\ 90\degree\ =?\ \$

a)

$undefined$

b)

$1$

c)

$0$

d)

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

33.

$What\ is\ \cot\ \frac{5\pi}{6}\ =?\ \$

a)

$\sqrt[]{3}$

b)

$-\sqrt[]{3}$

c)

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

d)

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

34.

$What\ is\ \sec\ \frac{11\pi}{6}\ =?\ \$

a)

$\sqrt[]{3}$

b)

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

c)

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

d)

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

35.

$What\ is\ \tan\ \frac{11\pi}{6}\ =?\ \$

a)

$\sqrt[]{3}$

b)

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

c)

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

d)

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

36.

$What\ is\ \cot\ \frac{11\pi}{6}\ =?\ \$

a)

$\sqrt[]{3}$

b)

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

c)

$-\sqrt[]{3}$

d)

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

37.

$What\ is\ \cot\ \frac{11\pi}{6}\ =?\ \$

a)

$\sqrt[]{3}$

b)

$-2$

c)

$-\sqrt[]{3}$

d)

$1$

38.

$What\ is\ \sec\ \frac{3\pi}{2}\ =?\ \$

a)

$undefined$

b)

$-2$

c)

$-\sqrt[]{3}$

d)

$1$

39.

$What\ is\ \cos\pi\ =?\ \$

a)

$1$

b)

$-2$

c)

$-\sqrt[]{3}$

d)

$-1$

40.

$What\ is\ \sin\pi\ =?\ \$

a)

$0$

b)

$-2$

c)

$-\sqrt[]{3}$

d)

$-1$

TRIGONOMETRIC POINTS AND UNIT CIRCLE

Total questions: 40

Worksheet time: 2hrs 0mins

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