Using period as an aide to evaluate for secant when the angle falls on the x axis

Using period as an aide to evaluate for secant when the angle falls on the x axis

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve a secant problem by recognizing and eliminating redundant periods. The instructor demonstrates that the given angle can be simplified by rewriting it as a sum of periods, which are essentially circles. By canceling out these redundant circles, the problem is reduced to finding the secant of zero degrees, which is calculated to be one. The tutorial emphasizes understanding the concept of periods in trigonometry and how they can simplify complex problems.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of rewriting secant using periods like 2π?

It makes the problem more complex.

It simplifies the calculation by removing redundant circles.

It is only useful for angles greater than 360 degrees.

It changes the value of secant.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can multiple 2π circles be interpreted in terms of angles?

They represent different angles.

They are equivalent to zero.

They increase the angle by 180 degrees each time.

They decrease the angle by 90 degrees each time.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of the secant of zero degrees?

Undefined

Zero

One

Two

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the context of secant, what does the expression 1/X represent?

The angle in degrees

The reciprocal of cosine

The tangent of the angle

The sine of the angle

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is the secant of six Pi equivalent to the secant of zero degrees?

Because six Pi is a negative angle.

Because six Pi is greater than 360 degrees.

Because six Pi is less than zero.

Because six Pi is a multiple of 2π, making it a full circle.