Learn how to evaluate for the secant of a negative angle using the unit circle

Learn how to evaluate for the secant of a negative angle using the unit circle

Assessment

Interactive Video

Created by

Quizizz Content

Mathematics

11th Grade - University

Hard

The video tutorial explains how to understand angles and reference angles, particularly focusing on 150 degrees and its reference angle of 30 degrees. It discusses the use of the unit circle to visualize angles and reflections about the axes. The tutorial also covers how to calculate the secant of an angle by using the reciprocal of the cosine and rationalizing the denominator.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reference angle for 150 degrees?

45 degrees

30 degrees

60 degrees

90 degrees

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the angle of 150 degrees represented on the coordinate plane?

Reflection about the X-axis

Reflection about the Y-axis

Reflection about both X and Y axes

No reflection

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the coordinates of the angle 150 degrees on the unit circle?

(sqrt 3 / 2, 1/2)

(1/2, sqrt 3 / 2)

(-sqrt 3 / 2, 1/2)

(-sqrt 3 / 2, -1/2)

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for secant of an angle?

X / Y

1 / X

Y / X

1 / Y

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you simplify the expression for secant when the X coordinate is -sqrt 3 / 2?

-2 / sqrt 3

2 sqrt 3 / 3

-2 sqrt 3 / 3

-sqrt 3 / 2