Learn how to evaluate the secant of an angle using the unit circle

The video tutorial explains the concept of secant in trigonometry, starting with its definition as the hypotenuse divided by the adjacent side. It then relates secant to the unit circle, showing that it can be expressed as 1 over cosine, which corresponds to 1/X. The tutorial proceeds to calculate the secant of π/3 by identifying the X-coordinate on the unit circle, which is 1/2, and simplifies the result by multiplying by the reciprocal, leading to the final answer.

What is the secant of an angle in a right triangle?

• Hypotenuse divided by adjacent

• Hypotenuse divided by opposite

• Adjacent divided by hypotenuse

• Opposite divided by adjacent

How can secant be expressed using the unit circle?

• 1 over cotangent

• 1 over cosine

• 1 over tangent

• 1 over sine

What does cosine represent in the context of the unit circle?

• Radius

• Angle

• X-coordinate

• Y-coordinate

What is the X-coordinate for π/3 on the unit circle?

• 1

• 1/2

• √3/2

• 0

How do you simplify 1 divided by 1/2?

• Multiply by 2

• Multiply by 1/2

• Subtract 1/2

• Add 1/2