How to Find the Angle Using Cosine when Given Secant

How to Find the Angle Using Cosine when Given Secant

Assessment

Interactive Video

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Mathematics

11th Grade - University

Hard

02:45

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.

OPEN ENDED

3 mins • 1 pt

What is the value of Theta in degrees that is between 0 and 90 degrees?

2.

OPEN ENDED

3 mins • 1 pt

Explain the relationship between secant and cosine functions.

3.

OPEN ENDED

3 mins • 1 pt

At what angle is cosine equal to 1/2 in the first quadrant?

4.

OPEN ENDED

3 mins • 1 pt

What is the value of Theta in radians when it is π thirds?

5.

OPEN ENDED

3 mins • 1 pt

How do you find the angle that corresponds to a secant value of 2?