Quiz about Tangent Values on Unit Circle Radians

Question 1

The tangent function can be found using which of the following?

Accepted Answer

y divided by the x coordinate

Answer

x coordinate

Answer

x divided by the y coordinate

Answer

y

Question 2

Based on the unit circle, what is the value of tan?

Accepted Answer

y/x

Answer

y/r

Answer

x/r

Answer

r/y

Question 3

tan 90

Accepted Answer

undefined

Answer

0

Answer

1

Answer

-1

Question 4

Use the Unit Circle to find the exact value: tan( $$\frac{19\pi}{6}$$ )

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 5

How is the unit circle used to find trigonometric values?

Accepted Answer

By using the coordinates of points on the circle to determine the sine, cosine, and tangent of angles.

Answer

By using the radius to calculate the area of the circle

Answer

By measuring the circumference of the circle

Answer

By counting the number of points on the circle

Question 6

What is the relationship between the unit circle and the trigonometric functions?

Accepted Answer

The unit circle provides a visual representation of the values of trigonometric functions for different angles.

Answer

Trigonometric functions are only applicable to squares, not circles

Answer

The unit circle has no relationship with trigonometric functions

Answer

The unit circle is used to calculate algebraic functions, not trigonometric functions

Question 7

Angle $$ heta$$ , measured in radians, satisfies $$\cos\left( heta ight)=0$$ . What could the value of $$ heta$$ be? Select ALL the answers that apply.

Accepted Answer

$$\frac{\pi}{2}$$

Accepted Answer

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

Answer

$$0$$

Answer

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

Answer

$$\pi$$

Question 8

In which quadrant are both the sine and the tangent negative?

Accepted Answer

4th

Answer

1st

Answer

2nd

Answer

3rd

Tangent Values on Unit Circle Radians

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