Solving trigonometric equations with multiple angles

Solving trigonometric equations with multiple angles

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve trigonometric equations by isolating the trigonometric function and solving for the variable. It covers the relationship between secant and cosine, using the unit circle to find angles where cosine equals 1/2, and extends solutions beyond the interval of 0 to 2π by adding coterminal angles. Finally, it demonstrates solving for X in multiple angle equations by dividing and finding general solutions.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the first step in solving for the variable in trigonometric equations?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How is secant related to cosine?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What angles correspond to cosine being equal to 1/2?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to find all solutions for the equation in the context of the unit circle.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the general solution for X when solving the equation 4X = π/3 + 2πN?

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