Solving trigonometric equations

Solving trigonometric equations

Assessment

Interactive Video

Mathematics, Science

11th Grade - University

Hard

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The video tutorial explains how to solve a trigonometric equation involving both sine and cosine functions. It begins by introducing the problem and the need to convert the functions to a common form. The instructor demonstrates how to isolate the trigonometric function and solve the equation by using algebraic manipulation. The unit circle is then used to find specific solutions, and the concept of generalizing solutions by adding multiples of 2π is discussed. The tutorial emphasizes understanding the unit circle and the importance of isolating variables in trigonometric equations.

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3 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What steps are involved in converting cosine squared to sine squared?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the angle π / 3 in the context of the problem?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine the additional solutions for X after finding the first solution?

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