Learn to evaluate for the secant of an angle without using a triangle

Learn to evaluate for the secant of an angle without using a triangle

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains reciprocal functions, focusing on the cosine and secant of π/3. It covers two methods: using a 30-60-90 triangle and the unit circle. The secant of 60 degrees is calculated as the hypotenuse over the adjacent side, and the unit circle method involves identifying the cosine of 60 degrees as the x-coordinate. Both methods lead to the same result, demonstrating different approaches to understanding trigonometric functions.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reciprocal of cosine known as?

Tangent

Secant

Cosecant

Cotangent

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a 30-60-90 triangle, what is the relationship of the secant of 60 degrees?

Opposite over Hypotenuse

Adjacent over Hypotenuse

Hypotenuse over Adjacent

Opposite over Adjacent

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can the cosine of 60 degrees be found using the unit circle?

By using the X coordinate

By using the Y coordinate

By using the radius

By using the tangent line

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of secant for π/3 or 60 degrees?

2

1

1/2

√3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which method can be used to understand secant besides using triangles?

Using the unit circle

Using the Pythagorean theorem

Using the sine function

Using the tangent function