Trigonometric Functions and Angles

Trigonometric Functions and Angles

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Practice Problem

Hard

CCSS
HSF.TF.A.2, HSF.TF.A.1, 8.EE.A.2

+2

Standards-aligned

Created by

Emma Peterson

FREE Resource

Standards-aligned

CCSS.HSF.TF.A.2
,
CCSS.HSF.TF.A.1
,
CCSS.8.EE.A.2
CCSS.HSF.TF.B.7
,
CCSS.4.OA.B.4
,
The video tutorial explains how to solve a trigonometric function for x by isolating the inverse cosine function, taking the cosine of both sides, and simplifying the equation. It demonstrates using a unit circle or reference triangle to find the cosine of 7π/4, which is 315 degrees, and concludes with the final calculation of x as 2√2.

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9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving the given trigonometric function for x?

Subtract 7/4 from both sides

Isolate the inverse cosine function

Divide by 7π/4

Add 4/7 to both sides

Tags

CCSS.HSF.TF.B.7

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is performed to simplify the equation after isolating the inverse cosine?

Taking the sine of both sides

Dividing by 4

Taking the cosine of both sides

Multiplying by 7π/4

Tags

CCSS.HSF.TF.A.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can the value of cosine 7π/4 be determined?

By using sine function

Using a unit circle or reference triangle

Using a calculator

By guessing

Tags

CCSS.HSF.TF.A.1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the degree equivalent of 7π/4 radians?

270 degrees

360 degrees

180 degrees

315 degrees

Tags

CCSS.HSF.TF.A.1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of triangle is used as a reference for 7π/4 radians?

30-60-90 triangle

45-45-90 triangle

60-60-60 triangle

90-90-90 triangle

Tags

CCSS.HSF.TF.A.2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the cosine of 7π/4 radians or 315 degrees?

-1/√2

1/√2

-1/2

1/2

Tags

CCSS.HSF.TF.A.2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified value of x after determining the cosine of 7π/4?

2

√2/2

2√2

4√2

Tags

CCSS.4.OA.B.4

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