How to Use Inverse Trigonometric Functions to Find the Angle of a Triangle

How to Use Inverse Trigonometric Functions to Find the Angle of a Triangle

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to use inverse trigonometric functions to find missing angles in triangles. It begins with an introduction to special right triangles and the Pythagorean theorem. The tangent function is explored, demonstrating how it relates the opposite and adjacent sides of a triangle. The tutorial then covers using trigonometric ratios to solve for unknown sides and angles, emphasizing the importance of exact values over approximations. Finally, the video discusses using inverse functions, sine, and cosine to determine angles, providing a comprehensive understanding of trigonometric applications.

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10 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the angles in an isosceles right triangle?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between the tangent of an angle and the lengths of the opposite and adjacent sides?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How can you identify the hypotenuse in a right triangle?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to find the angle Theta using the tangent function.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of using inverse functions in trigonometry?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you calculate the sine of an angle in a right triangle?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe how to find the missing angle using the sine inverse function.

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