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How to Find the Angle Using Cosine when Given Secant

How to Find the Angle Using Cosine when Given Secant

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to find the value of Theta in both degrees and radians, specifically between 0 and 90 degrees and 0 and π/2 radians. It covers the basics of angles, quadrants, and the unit circle. The tutorial introduces secant and its reciprocal function, cosine, to solve for Theta. The solution involves identifying where cosine equals 1/2 in the first quadrant, leading to the conclusion that Theta is π/3 radians or 60 degrees.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the range of Theta in degrees and radians as mentioned in the problem?

0 to 45 degrees and 0 to π/4

0 to 360 degrees and 0 to 2π

0 to 90 degrees and 0 to π/2

0 to 180 degrees and 0 to π

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In which quadrant are we looking for the angle Theta?

First quadrant

Second quadrant

Third quadrant

Fourth quadrant

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reciprocal of the secant function?

Cosecant

Tangent

Cosine

Sine

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Where in the first quadrant is the cosine of Theta equal to 1/2?

At 30 degrees

At 90 degrees

At 45 degrees

At 60 degrees

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of Theta in radians when cosine is 1/2?

π/3

π/4

π/2

π/6

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