Find the value of the trigonometric expression using inverse

Find the value of the trigonometric expression using inverse

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to find the inverse tangent of a point not on the unit circle by creating a triangle. It discusses the constraints of the inverse tangent function and applies the Pythagorean theorem to find the hypotenuse. The lesson concludes with finding the secant as the reciprocal of cosine.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step when given a point not on the unit circle to find its inverse tangent?

Ignore the point

Convert it to a sine function

Create a triangle

Use the unit circle directly

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why can only one triangle be used when finding the inverse tangent?

Because the unit circle is not applicable

Because of the constraints of the inverse tangent function

Because there are no other triangles

Because it is a positive tangent

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the Pythagorean theorem used for in this context?

To find the adjacent side of the triangle

To find the angle of the triangle

To find the hypotenuse of the triangle

To find the opposite side of the triangle

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the secant of an angle defined as?

The reciprocal of sine

The reciprocal of cosine

The reciprocal of tangent

The reciprocal of cotangent

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is secant calculated in this problem?

Opposite over hypotenuse

Hypotenuse over opposite

Adjacent over hypotenuse

Hypotenuse over adjacent