Trigonometric Functions and Properties

Trigonometric Functions and Properties

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Hard

CCSS
HSF.TF.A.2, HSF-IF.C.7E, HSF.TF.B.7

+2

Standards-aligned

Created by

Lucas Foster

FREE Resource

Standards-aligned

CCSS.HSF.TF.A.2
,
CCSS.HSF-IF.C.7E
,
CCSS.HSF.TF.B.7
CCSS.HSF.TF.A.4
,
CCSS.HSF.BF.B.3
,
The video tutorial covers various aspects of trigonometry, including the unit circle, trigonometric identities, periodicity, and symmetry properties. It explains how to calculate secant and cotangent using the unit circle and reference angles. The tutorial also demonstrates the use of graphing calculators for approximations and applies trigonometry to solve real-world problems.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

On the unit circle, at which angles are sine and cosine equal?

π/6 and 7π/6

π/2 and 3π/2

π/4 and 5π/4

π/3 and 4π/3

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the period of the tangent function?

π/2

π

Tags

CCSS.HSF.TF.A.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you calculate the secant of an angle using the unit circle?

1 over the y-coordinate

1 over the x-coordinate

The y-coordinate

The x-coordinate

Tags

CCSS.HSF.TF.B.7

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reference angle for 7π/6?

π/2

π/6

π/3

π/4

Tags

CCSS.HSF.TF.A.2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In which quadrant are both sine and cosine positive?

Quadrant III

Quadrant I

Quadrant II

Quadrant IV

Tags

CCSS.HSF.TF.A.4

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the symmetry property of sine regarding negative angles?

Sine of negative angle is cosine of angle

Sine of negative angle is tangent of angle

Sine of negative angle is negative sine of angle

Sine of negative angle is positive sine of angle

Tags

CCSS.HSF.TF.A.2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reciprocal of cosine known as?

Cosecant

Sine

Tangent

Secant

Tags

CCSS.HSF.BF.B.3

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