Find multiple solutions to a trigonometric equation

Find multiple solutions to a trigonometric equation

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to factor a trinomial equation involving cosine, solve for X/2, and determine valid solutions within a specified range. It emphasizes not being confused by coefficients and demonstrates the process of multiplying to solve for X. The tutorial concludes with instructions on using a graphing calculator to verify solutions.

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5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in factoring a trigonometric expression like a trinomial?

Divide by the highest power of X

Look for a common factor

Multiply all terms by 2

Simplify to a single cosine term

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After finding cosine of X/2 equals 1/2, what is the next step to solve for X?

Multiply by 2 on both sides

Divide by 2 on both sides

Add 1 to both sides

Subtract 1 from both sides

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a valid solution for X within the constraint 0 to 2π?

5π/3

2π/3

10π/3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is 10π/3 not a valid solution within the constraint 0 to 2π?

It is greater than 2π

It is a negative value

It is equal to 2π

It is less than 0

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What tool is suggested to verify the solutions graphically?

Basic calculator

Algebraic calculator

Graphing calculator

Scientific calculator

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