Solving an equation using the half angle formula of sine

Solving an equation using the half angle formula of sine

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

Wayground Content

FREE Resource

The video tutorial covers solving a trigonometric equation involving sine and cosine functions. The instructor begins by introducing the problem and discussing the need to rewrite the equation using trigonometric identities. The process involves isolating terms and using algebraic methods to simplify the equation. The instructor explains the importance of isolating the square root before squaring both sides. Finally, the equation is factored, and solutions are found within a specified interval. The tutorial emphasizes the use of algebraic techniques and trigonometric identities to solve complex equations.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the first step to solve the equation involving sine and cosine as mentioned in the text?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What does the teacher suggest to do after rewriting the equation with the square root?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the importance of isolating the square root before squaring both sides of an equation.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the teacher demonstrate the process of squaring both sides of an equation?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final form of the equation that the teacher arrives at before factoring?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

What method does the teacher use to solve the quadratic equation derived from the trigonometric equation?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

Identify the values of X for which cosine of X equals 1/2 based on the discussion.

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