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How to solve a trigonometric equation

How to solve 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 solve equations by isolating the cosine of X. It demonstrates the process of undoing operations like addition, subtraction, and multiplication to isolate cosine. The unit circle is used to identify angles where cosine equals specific values. The concept of coterminal angles is introduced, showing how they relate to the solution of the equation. The tutorial emphasizes understanding these mathematical concepts through practice and memorization.

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5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in isolating cosine of X in an equation?

Multiply both sides by 2

Add 1 to both sides

Subtract 1 from both sides

Divide both sides by 2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After isolating cosine of X, what value do we find it equals to in this problem?

-1

0

-1/2

1/2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which angles on the unit circle correspond to cosine of X being -1/2?

π/4 and 7π/4

π/6 and 11π/6

2π/3 and 4π/3

π/3 and 5π/3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a coterminal angle?

An angle that is a multiple of π

An angle that is exactly 180 degrees

An angle that is less than 90 degrees

An angle that shares the same terminal side

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find all possible solutions for cosine of X = -1/2?

Subtract multiples of π

Subtract multiples of 2π/3

Add multiples of π/2

Add multiples of 2π

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