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Trigonometric Equations and Functions

Trigonometric Equations and Functions

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Practice Problem

Hard

CCSS
HSF.TF.B.7, HSF.TF.A.2, HSF.TF.A.1

Standards-aligned

Created by

Emma Peterson

FREE Resource

Standards-aligned

CCSS.HSF.TF.B.7
,
CCSS.HSF.TF.A.2
,
CCSS.HSF.TF.A.1
The video tutorial explains how to solve the trigonometric equation 3 tangent squared X - 1 = 0 within the interval from 0 to 2π. It begins by isolating tangent squared X and solving for tangent X using square roots. The tutorial then uses 30-60-90 triangles to find reference angles and express solutions in both degrees and radians. It concludes by discussing alternative methods like using the unit circle.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving the equation 3 tangent squared x - 1 = 0?

Divide both sides by 3

Multiply both sides by 3

Add 1 to both sides

Subtract 1 from both sides

Tags

CCSS.HSF.TF.B.7

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After isolating tangent squared x, what operation is performed to solve for tangent x?

Square both sides

Cube both sides

Take the square root of both sides

Take the cube root of both sides

Tags

CCSS.HSF.TF.A.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which triangle is used to determine where tangent x equals ±1/√3?

Equilateral triangle

Isosceles triangle

30-60-90 triangle

45-45-90 triangle

Tags

CCSS.HSF.TF.A.2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reference angle in degrees for tangent x = ±1/√3?

30 degrees

60 degrees

45 degrees

90 degrees

Tags

CCSS.HSF.TF.B.7

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In which quadrants is the reference angle sketched to find all solutions?

All four quadrants

First and third quadrants

First and second quadrants

Second and fourth quadrants

Tags

CCSS.HSF.TF.A.1

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the radian measure equivalent to 30 degrees?

π/4

π/3

π/6

π/2

Tags

CCSS.HSF.TF.B.7

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a solution in radians for the equation on the given interval?

2π/3

π/2

5π/6

3π/4

Tags

CCSS.HSF.TF.A.1

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