Exam Review Composition of trig function and inverse using x

The video tutorial explores the relationships between cosine, inverse cosine, tangent, and arc tangent. It begins by explaining the cosine of π/3 and its inverse, then transitions to understanding tangent and arc tangent using angles and triangles. The tutorial concludes by constructing a triangle to find the secant of an angle, emphasizing the use of trigonometric identities and relationships.

What is the cosine of π/3?

• 1

• 1/2

• √3/2

• 0

If the tangent of an angle is X, what is the arc tangent of X?

• The angle itself

• 1/X

• X^2

• The angle whose tangent is X

In a right triangle, how is the tangent of an angle defined?

• Adjacent over hypotenuse

• Opposite over adjacent

• Adjacent over opposite

• Hypotenuse over opposite

How do you calculate the hypotenuse in a right triangle if the opposite side is X and the adjacent side is 1?

• X^2 - 1

• √(X^2 + 1)

• X^2 + 1

• X + 1

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

• Adjacent over hypotenuse

• Opposite over hypotenuse

• Hypotenuse over adjacent

• Hypotenuse over opposite