How to evaluate for the secant of an angle without using a calculator

How to evaluate for the secant of an angle without using a calculator

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the concept of secant of π/3, emphasizing the importance of understanding trigonometric functions without relying on calculators. It explains the relationships in 30-60-90 triangles and how these can be used to find exact trigonometric values. The tutorial also highlights the proportionality of special right triangles and concludes with a Q&A session to address student queries.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the secant of π/3 equivalent to in degrees?

45 degrees

60 degrees

30 degrees

90 degrees

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a property of a 30-60-90 triangle?

The hypotenuse is equal to the long leg.

The long leg is equal to the short leg.

The hypotenuse is twice the length of the short leg.

The short leg is twice the length of the hypotenuse.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a 30-60-90 triangle, if the short leg is 7, what is the length of the hypotenuse?

7

14√3

14

7√3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you calculate the secant of an angle using a right triangle?

Hypotenuse over opposite

Hypotenuse over adjacent

Adjacent over hypotenuse

Opposite over hypotenuse

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the secant of 60 degrees in a 30-60-90 triangle?

1/2

2

1

√3