Understanding Secant and Cosine Functions

This video tutorial covers solving secant equations without a calculator by using the unit circle and reference triangles. It explains the process of solving secant Theta = 2/√3 and secant Theta = √2, detailing the reciprocal relationship between secant and cosine, and identifying the quadrants where these functions are positive or negative. The tutorial also demonstrates how to use reference triangles to find solutions, emphasizing the importance of understanding both methods.

What is the reciprocal of the cosine function?

• Sine

• Tangent

• Secant

• Cosecant

In which quadrants is the cosine function positive?

• Third and Fourth

• Second and Third

• First and Fourth

• First and Second

What is the cosine of pi/6?

• 0

• 1/2

• √3/2

• √2/2

What is the secant of pi/6?

• 2/√3

• √3/2

• 1/√2

• 1

What is the reference angle for 30 degrees in radians?

• pi/6

• pi/2

• pi/3

• pi/4

In which quadrants is the secant function negative?

• Second and Third

• First and Second

• First and Fourth

• Third and Fourth

What is the cosine of pi/4?

• √3/2

• 1/2

• √2/2

• 0

What is the secant of pi/4?

• √2

• 2/√3

• √3/2

• 1/√2

What is the reference angle for 45 degrees in radians?

• pi/6

• pi/4

• pi/2

• pi/3

What is the cosine function value for a 45-degree reference angle?

• 1/2

• √3/2

• √2/2

• 0