Trigonometric Functions and Ratios

This video tutorial covers Lesson Four of the trigonometry geometry unit, focusing on reciprocal trigonometric ratios. It explains the concept of reciprocal ratios as the inverse of primary trig ratios, using examples and special triangles. The tutorial also demonstrates how to use the unit circle to find trig ratios and solve equations involving reciprocal functions.

What is the reciprocal of the sine function?

• Cotangent

• Secant

• Cosecant

• Tangent

Which trigonometric function is the reciprocal of cosine?

• Cosecant

• Secant

• Sine

• Cotangent

What is the reciprocal of tangent?

• Cosecant

• Secant

• Cotangent

• Sine

In a right triangle, what is the sine of an angle defined as?

• Opposite over Hypotenuse

• Adjacent over Hypotenuse

• Adjacent over Opposite

• Opposite over Adjacent

What is the cosine of a 30° angle in a special triangle?

• √2/2

• √3/2

• 1/2

• 1

What is the secant of a 45° angle?

• √3

• 1

• 2

• √2

What is the sine of 0° using the unit circle?

• 1/2

• Undefined

• 1

• 0

For the point (9, 12) on the terminal arm, what is the sine ratio?

• 3/5

• 4/5

• 5/3

• 5/4

If cosecant of an angle is 8, what is the sine of that angle?

• 1/2

• 2

• 8

• 1/8

What is the principal angle if the sine ratio is -1/2?

• 30° and 150°

• 210° and 330°

• 0° and 180°

• 90° and 270°