Trigonometric Functions and Their Properties

The video tutorial covers reciprocal trigonometric ratios, including cosecant, secant, and cotangent. It reviews primary trigonometric ratios and demonstrates how to evaluate reciprocal ratios using examples. The video also explains how to find angles given a reciprocal ratio, using the CAST rule to determine possible quadrants.

What is the main purpose of the video?

• To introduce new trigonometric concepts.

• To review what was covered in class.

• To provide a detailed history of trigonometry.

• To solve complex trigonometric equations.

Which of the following is NOT a primary trigonometric ratio?

• Tangent

• Cosecant

• Cosine

• Sine

How is sine of theta expressed in a right triangle?

• Opposite over hypotenuse

• Hypotenuse over opposite

• Adjacent over opposite

• Adjacent over hypotenuse

What is the reciprocal of the sine function?

• Secant

• Cosecant

• Cotangent

• Tangent

How is secant of theta expressed in terms of cosine?

• 1 / sine of theta

• 1 / cotangent of theta

• 1 / tangent of theta

• 1 / cosine of theta

What is the reciprocal of the tangent function?

• Cotangent

• Sine

• Secant

• Cosecant

How do you evaluate the secant of 70 degrees?

• Use the sine function

• Use the cosine function

• Use the tangent function

• Use the cotangent function

What is the approximate value of secant 70 degrees?

• 1.5

• 2.9

• 3.5

• 4.0

If cosecant of theta is 3.86, what is the first step to find theta?

• Use the tangent function

• Use the sine function

• Use the cosine function

• Use the cotangent function

What is the sine of theta if cosecant of theta is 3.86?

• 1 / 3.86

• 3.86

• 1.86

• 0.86