Evaluate the double angle of sine using a right triangle

Evaluate the double angle of sine using a right triangle

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the constraint on Theta, focusing on its range between π/2 and π. It explains how this constraint affects the placement of a triangle in a specific quadrant. The tutorial then uses the Pythagorean theorem to find the hypotenuse of the triangle. Finally, it demonstrates how to evaluate the sine of two Theta using trigonometric identities, providing a step-by-step calculation of sine and cosine values based on the triangle's properties.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between the angles π/2 and π in the context of the triangle discussed?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine which side of the triangle is negative when considering the tangent function?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to apply the Pythagorean theorem to find the hypotenuse in the given triangle.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the formula for sine of 2Theta based on the triangle, and how do you derive it?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Calculate the sine and cosine values based on the triangle's dimensions provided.

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