Given the Value of Secant Find the Angle

The video tutorial explains the concept of secant in trigonometry, highlighting its reciprocal relationship with cosine. It discusses the unit circle and key angles such as π/6, π/4, and π/3. The tutorial demonstrates how to find the angle where secant equals two by using cosine, emphasizing the interchangeability of these trigonometric functions.

What is the relationship between secant and cosine?

• Secant is the reciprocal of cosine.

• Secant is the integral of cosine.

• Secant is the square of cosine.

• Secant is the derivative of cosine.

Which of the following is a key point on the unit circle?

• π/6

• π/8

• π/5

• π/2

What are the coordinates of the point at π/4 on the unit circle?

• (sqrt 2 / 2, sqrt 2 / 2)

• (1/2, sqrt 3 / 2)

• (sqrt 3 / 2, 1/2)

• (1, 0)

If secant of Theta equals two, what is the corresponding cosine value?

• 1/2

• 2

• 4

• 1/4

At what angle is the cosine value equal to 1/2 on the unit circle?

• 60 degrees

• 45 degrees

• 90 degrees

• 30 degrees