Understanding Radians and Trigonometric Functions

What is the first step in finding the exact value of sine for an angle given in radians?

• Convert the angle to degrees.

• Visualize the angle on the Cartesian plane.

• Directly apply the CAST rule.

• Use a calculator to find the sine value.

How do you determine the related acute angle for 2π/3?

• Subtract π from 2π/3.

• Add π/3 to 2π/3.

• Find the difference between π and 2π/3.

• Double the angle 2π/3.

Which special triangle is used to find the sine of π/3?

• The 90-90-90 triangle.

• The 45-45-90 triangle.

• The 30-60-90 triangle.

• The 60-60-60 triangle.

In which quadrant is the sine function positive?

• Fourth quadrant

• Third quadrant

• Second quadrant

• First quadrant

What is the exact value of sine(2π/3)?

• √3/2

• -1/2

• 1/2

• -√3/2

How many sixths of π are needed to represent 11π/6?

• 6

• 11

• 12

• 18

What is the related acute angle for 11π/6?

• π/2

• π/6

• π/4

• π/3

What is the exact value of tangent(11π/6) before rationalizing?

• 1/√3

• -1/√3

• √3

• -√3

Which trigonometric function is positive in the fourth quadrant?

• Cosecant

• Tangent

• Cosine

• Sine

What is the rationalized form of -1/√3?

• -√3/3

• √3/3

• -3/√3

• 3/√3