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 trigonometric equation 2sin²(X) + 3sin(X) + 1 = 0. It begins by discussing the need to factor the equation due to its quadratic form. The instructor demonstrates factoring the equation and applying the zero product property to find solutions. The unit circle is used to identify specific angles where the sine function equals -1 or -1/2. Finally, the tutorial covers finding all possible solutions by considering coterminal angles, emphasizing the periodic nature of the sine function.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of using the unit circle to find the values of X for sine of X = -1.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you find all coterminal angles for the solutions of sine of X = -1?

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