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.

OPEN ENDED QUESTION

3 mins • 1 pt

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

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you find the values of X that satisfy the equation cotangent squared of X = 1/3?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the relationship between cotangent and tangent in terms of their reciprocal properties.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What angles correspond to the values of X that yield a tangent of positive and negative sqrt 3?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

How can you represent infinite solutions for the equation involving cotangent?

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