Precalc Final Review: Trigonometry

Which of the following is closest to the measure of the angle shown?

• 7/10 π
• 3/8 π
• 7/20 π
• 3/2 π

What are the negative and positive coterminal angles of 240 degrees?

• 540°, -120°

• 600°, -120°

• 425°, -240°

• 120°, -135°

Answer explanation

The unit circle...

• Has center at (1,1)
• Has a circumference of 1
• Has a diameter of 1
• Has a radius of 1

Based on the unit circle, what is the value of cos?

• y/r
• x/r
• r/y
• y/x

Based on the unit circle, what is the value of tan?

• y/r

• x/r

• r/y

• y/x

Answer explanation

The cos is always the x coordinate divided by the radius. With the unit circle that radius is 1

Based on the unit circle, what is the value of sin?

• y/r

• x/r

• r/y

• y/x

Answer explanation

The sin is always the y coordinate divided by the radius. With the unit circle that radius is 1.

What is cos 60°?

• ½
• ^√3/₂
• ^√2/₂
• 1

What is sin 45°?

• 1
• ^√3/₂
• ½
• ^√2/₂

What is sin 30°?

• ^√3/₂
• 1
• ½
• ^√2/₂

cosθ is positive in

• the 1st and 2nd quadrants
• the 1st and 3rd quadrants
• the 1st and 4th quadrants
• the 2nd and 3rd quadrants