Solving a trigonometric equation with applying pythagorean identity

Solving a trigonometric equation with applying pythagorean identity

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve the trigonometric equation sine squared of Theta minus cosine squared of Theta equals zero. It demonstrates the use of trigonometric identities for substitution and simplification, and how to find solutions using the unit circle. The tutorial also covers finding all possible solutions by considering the periodic nature of trigonometric functions.

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3 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the unit circle in determining the values of cosine?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you find all solutions for the equation beyond the interval of 0 to 2π?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to derive the general solution for the angles where cosine of Theta equals ± sqrt 2 / 2.

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