quiz 7a study guide

inverse sin range

[-pi/2, pi/2]

inverse cos range

[0, pi]

inverse tan range

(-pi/2, pi/2)

inverse sin exists

quadrants 1 and 4

inverse cos exists

quadrants 1 and 2

inverse tan exists

quadrants 1 and 4

inverse sec range

[0, pi/2) U (pi/2, pi]

inverse csc range

[-pi/2, 0) U (0, pi/2]

inverse cot range

(0, pi)

inverse function rule

f (f-1 (x)) = x = f-1 ( f (x))

inverse sec exists

quadrants 1 and 2

inverse cot exists

quadrants 1 and 2

inverse csc exists

quadrants 1 and 4

sin and csc inverse relationship

csc-1 (x) = sin-1 (1/x)

sec and cos inverse relationship

sec-1 (x) = cos-1 (1/x)

sin

opp/hyp

cos

adj/hyp

tan

opp/adj