Learn how to solve a trigonometric equation with cosine

Learn how to solve a trigonometric equation with cosine

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers trigonometric functions, focusing on isolating variables using inverse operations. It explains simplifying square roots and rationalizing denominators. The unit circle is used to find angles corresponding to specific cosine values, with a focus on π/4. The tutorial identifies all solutions for cosine values between 0 and 2π and concludes with a preview of further explanations using a computer.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of introducing the square root in solving trigonometric equations?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How can you algebraically simplify sqrt(1/2)?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What angles correspond to the cosine value of ±sqrt(2)/2?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the restrictions when finding solutions for trigonometric equations?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how the reference angle affects the cosine values in different quadrants.

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