8.7 Inverse Trig Functions

Inverse Trig Functions y = sin-1x or y = arcsin x is equivalent to x = sin y where Function Equiv. Eqtn. Range banana y = sin-1x x = sin y (or y = arcsin x) rainbow y = cos-1x x = cos y (or y = arccos x) banana y = tan-1x x = tan y (or y = arctan x)

Inverse Trig Functions Equiv. Eqtn. Range banana y = csc-1x x = csc y (or y = arccsc x) rainbow y = sec-1x x = sec y (or y = arcsec x) rainbow y = cot-1x x = cot y (or y = arccot x)

How to Remember Banana or Rainbow sin B e csc B cos R ight sec R CUZ tan B ack cot R It’s cold!!

Ex 1) Find the exact value of  & Reference  is but it’s (–) So in QIV, 

Ex 2) Evaluate  & Reference  is but it’s (–) So in QII, 

Ex 3) Evaluate  & Impossible since Not Defined

Homework #817 Pg. 534 1 – 13 odd