Inverse Functions

arcsin

100

sin^-1 (1/2) in degrees

30 ^o

200

sin^-1 (√2/2) in degrees

45^o

300

sin^-1 (-1/2) in degrees

-30^o 

400

sin^-1 (√3/2) in radians

π/3

500

sin^-1 (- √2/2) in radians

-π/4 

Arcsin

100

Arcsin (sqrt(3)/2) in degrees

60 deg

200

Arcsin (1/2) in degrees

30 deg

300

Arcsin (sqrt(2)/2) in radians

pi/4

400

Arcsin (-sqrt(3)/2) in radians

-pi/3

500

Arcsin (-1/2) in radians and degrees

-pi/6 or -30 deg

arccos

100

arccos (sqrt(3)/2) in degrees

30 deg +- 360 deg(n) & 330 deg +- 360 deg(n)

200

arccos (1/2) in degrees

60 deg +- 360 deg(n) & 300 deg +- 360 deg(n)

300

arccos (-1/2) in radians

2pi/3 +- 2pi(n) & 4pi/3 +- 2pi(n)

400

arccos (sqrt(2)/2) in radians

pi/4 +- 2pi(n) & 7pi/4 +- 2pi(n)

500

arccos (-sqrt(2)/2) in radians

3pi/4 +- 2pi(n) & 5pi/4 +- 2pi(n)

Arccos

100

Arccos (sqrt(2)/2) in degrees

45 degrees

200

Arccos (1/2) in degrees

60 deg

300

Arccos (sqrt(3)/2) in radians

pi/6

400

Arccos (-1/2) in radians

2pi/3

500

Arccos (-sqrt(2)/2) in radians and degrees

3pi/4 or 135 deg

Potpourri

100

The tangent function is positive in what quadrants (I, II, III, IV)?

I & III

200

Write the formula for Law of Sines?

a/sin A = b/sin B = c/sin C

300

What is the amplitude in the following equation: y = -4 cos 5x

amp = 4

400

What is the first critical point in the following equation: y = 2 cos 2(x + pi/2)

(-pi/2, 2)

500

What is the fourth critical point for the following equation: y = -5 sin 2(x + pi/4) + 7

(pi/2, 12)