Week 1 Trigonometric Ratios and the Unit Circle

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

Which of the following is closest to the measure of the angle drawn by the green curve?

• 5/6 π
• 5/3 π
• 4/5 π
• 4/3 π

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

• 540°, -120°
• 600°, -120°
• 425°, -240°
• 120°, -135°

The unit circle...

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

What is the exact coordinates of  3π/4 on the unit circle?

• (−√2∕2, √2∕2)
• (−√2∕2, −√2∕2)
• (−√3∕2, −√2∕2)
• (√2∕2, −√2∕2)

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

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

• y/r
• x/r
• r/y
• y/x

What is cos 60°?

• ½
• ^√3/₂
• ^√2/₂
• 1

What is sin 45°?

• 1
• ^√3/₂
• ½
• ^√2/₂