Question

How do you solve `sin A=.8365`?

Answer 1

`56^@46'20.4''`

Explanation:

Type on calculator (hp 9s) :-

`0.8365`

then arc sine (2ndF sin)

display `56.77235303^@`

then 2ndF `(@,,,rarr)`

display:- `56^@ 46'20.4''`

Answer 2

`56^@7723; 303^@2276`

Explanation:

sin A = 0.8365
Calculator gives --> `A = 56^@7723`
Unit circle gives another A that has the sane cos value (0.8365) -->
`A = - 56^@7723`, or
`A = 360 - 56.7723 = 303^@2276` (co-terminal)