How to evaluate for secant of a negative angle using period as an aide

How to evaluate for secant of a negative angle using period as an aide

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the concept of secant in trigonometry, explaining its relationship with cosine as reciprocals. It delves into coterminal angles, emphasizing their redundancy when graphing. The tutorial also demonstrates graphing angles and reflections over the X-axis, using the unit circle for coordinate identification. Finally, it explains how to calculate secant by rationalizing the denominator, providing a step-by-step approach to understanding these trigonometric concepts.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between secant and cosine?

Secant is the reciprocal of cosine.

Secant is the derivative of cosine.

Secant is the square of cosine.

Secant is the integral of cosine.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can angles greater than 2π be simplified?

By subtracting 2π to find a coterminal angle.

By dividing them by 2π.

By adding 360 degrees.

By multiplying them by 2π.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a coterminal angle?

An angle that is half the original angle.

An angle that is the negative of the original angle.

An angle that shares the same initial and terminal sides.

An angle that is twice the original angle.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find the secant of an angle using its coordinates?

By subtracting the y-coordinate from the x-coordinate.

By adding the x and y coordinates.

By taking the reciprocal of the x-coordinate.

By taking the reciprocal of the y-coordinate.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the coordinates when reflecting over the X-axis?

The coordinates remain unchanged.

The y-coordinate becomes negative.

The x-coordinate becomes negative.

Both coordinates become negative.