Evaluate the six trigonometric functions for the given real number

Evaluate the six trigonometric functions for the given real number

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the evaluation of trigonometric functions for negative angles, specifically focusing on the angle -13π/3. It explains how to find coterminal angles and evaluates sine, cosine, and tangent using the unit circle. The tutorial also demonstrates the calculation of reciprocal trigonometric functions, including cosecant, secant, and cotangent, with a focus on simplifying expressions and rationalizing denominators.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the direction of rotation for a negative angle like -13π/3?

Horizontal

Clockwise

Vertical

Counterclockwise

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you find the smallest negative coterminal angle for -13π/3?

By subtracting 2π

By adding 6π/3

By dividing by 2

By multiplying by 3

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the smallest negative coterminal angle for -13π/3?

-2π/3

-5π/3

-π/3

-4π/3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In which quadrant is the angle -π/3 located?

Third Quadrant

Fourth Quadrant

Second Quadrant

First Quadrant

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of cotangent for the angle -13π/3?

1/√3

-1/√3

-√3

√3