How to evaluate the six trig functions when given a point

The video tutorial explains the concept of the unit circle and its significance in trigonometry. It guides students through determining if a point lies on the unit circle and the steps to create a triangle from a point not on the circle. The tutorial covers finding the hypotenuse using the Pythagorean theorem and calculating trigonometric functions such as sine, cosine, and tangent. It also explains how to find reciprocal trigonometric functions like cosecant, secant, and cotangent.

What is the radius of the unit circle?

• 0

• 1

• 3

• 2

What is the first step in creating a triangle from a point not on the unit circle?

• Draw a line parallel to the y-axis

• Draw a line perpendicular to the y-axis

• Draw a line parallel to the x-axis

• Draw a line perpendicular to the x-axis

When determining the hypotenuse, what is its sign?

• Depends on the x-coordinate

• Always negative

• Always positive

• Depends on the y-coordinate

Which trigonometric function is calculated as opposite over hypotenuse?

• Sine

• Tangent

• Cotangent

• Cosine

What is the reciprocal of the sine function?

• Cotangent

• Secant

• Cosecant

• Tangent

How do you find the cosine of an angle in a right triangle?

• Opposite over hypotenuse

• Adjacent over hypotenuse

• Opposite over adjacent

• Hypotenuse over opposite

What is the tangent of an angle in terms of opposite and adjacent sides?

• Opposite over hypotenuse

• Hypotenuse over adjacent

• Adjacent over hypotenuse

• Opposite over adjacent