Solving a trigonometric equation and determining all the solutions between 0 and 2pi

Solving a trigonometric equation and determining all the solutions between 0 and 2pi

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial introduces solving trigonometric equations, focusing on solving for X using inverse tangent and understanding its restrictions. It explains finding angles between 0 and 2π, using reflections and the unit circle, and calculating solutions for the equation. The tutorial emphasizes understanding the constraints and correctly identifying angles that satisfy the equation.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the first step in solving the equation tangent squared of X equals positive 3?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

When taking the square root of both sides of an equation, what must be included?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What does X represent in the context of solving trigonometric equations?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the three possible angles for tangent mentioned in the lesson?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the constraint given for the angles in the homework problems?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the reference angle in trigonometric equations?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

How many solutions are there for the equation between 0 and 2π?

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