Worksheet 7 Inverse Trig Functions Finding exact values for

Worksheet 7 Inverse Trig Functions Finding exact values for arcsine, arccosine, and arctangent Exercise 7.6 Find the inverse values for the following. Pay special attention to the domains (a) cos-1 ( on [2r,3r) V2 (c) tan-49 on I-,,-) 107

Solution

a) cos ^-1 ( - sqrt 2 / 2 )

on [ 2pi , 3pi )

is 2pi + 3pi/4 = 11pi/4

b) sin^-1 ( sqrt 3/2 )

= pi/ 3

c) tan^-1 ( sqrt 3 ) on [ -3pi/2 , -pi/2 ]

= -2pi/3