Solving trigonometric equations

Solving trigonometric equations

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve the equation X - 1 = 0 by isolating trigonometric values, specifically focusing on cotangent and tangent. It demonstrates using inverse operations and reciprocal properties to find solutions. The tutorial also covers identifying angles on the unit circle that yield specific tangent values and discusses the periodic nature of trigonometric functions, leading to infinite solutions.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in isolating the trigonometric value in the equation X - 1 = 0?

Subtracting one from both sides

Adding one to both sides

Dividing both sides by three

Multiplying both sides by three

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the equation cotangent X = ± 1/3 transformed to find the values of X?

By using the tangent function

By using the secant function

By using the sine function

By using the cosine function

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which angles on the unit circle yield a tangent of ± sqrt 3?

π / 3 and 2π / 3

π / 2 and 3π / 2

π / 4 and 3π / 4

π / 6 and 5π / 6

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the period of the tangent and cotangent functions?

π / 2

π

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How are infinite solutions for the equation expressed?

Using a variable R

Using a matrix M

Using a constant C

Using a function F