Solving an equation with sine on both sides

Solving an equation with sine on both sides

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

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The video tutorial explains how to solve trigonometric graphs by isolating trigonometric functions and using the unit circle to find solutions. It covers specific angles in the first quadrant and discusses finding all solutions using coterminal angles. The tutorial emphasizes understanding the difference between finding solutions within a range and all possible solutions, preparing students for tests.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving trigonometric graphs according to the video?

Isolate the trigonometric function

Apply inverse operations

Combine trigonometric functions

Use the unit circle

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which angle corresponds to the sine value of sqrt 3 / 2 in the first quadrant?

π / 6

π / 4

2π / 3

π / 3

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the second angle where sine equals sqrt 3 / 2?

π / 3

2π / 3

π / 4

π / 6

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you find all solutions for a trigonometric equation?

By using only the second quadrant

By using only the first quadrant

By adding 2π to the initial solutions

By subtracting π from the solutions

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the variable N represent in the expression X = π / 3 + 2πN?

The number of solutions

The angle in radians

The number of times 2π is added

The initial angle