Math 3C: Trigonometry Review

What is the domain of the sine and cosine functions?

(-inf, inf)

If sin(t)=3/8 and t is in the 2nd quadrant, find cos(t).

-55/64

What is cos(3pi/2)?

0

What is sin(pi/2)?

1

What is cos(pi/3)?

1/2

Find the angle between 0 and 2π in radians that is coterminal to: -pi/9

17pi/9

What is sec(pi/3)?

2

What is the reference angle for -pi/8?

22.5 degrees

Find the angle between 0° and 360° that is coterminal to: -110 degrees

250 degrees

Find the angle between 0° and 360° that is coterminal to: 1400 degrees

320 degrees

What is the reference angle for -315 degrees?

45 degrees

Find the angle between 0 and 2π in radians that is coterminal to: 10pi/3

4pi/3

What is the reference angle for 240 degrees?

60 degrees

What is the reference angle for 100 degrees?

80 degrees

What is the range of the sine and cosine functions?

[-1, 1]

What is csc(pi/4)?

sqrt(2)

What is sin(pi/4)?

sqrt(2)/2

What is sin(pi/3)?

sqrt(3)/2

What is tan(pi/6)?

sqrt(3)/3 or 1/sqrt(3)