Question

Find the values of the inverse function in radians. 1. sin^-1(0.65)?
answer choices:

a. 0.71+2pi n and -0.71+2pi n
b. 0.71+2pi n and -3.85+2pi n
c. 0.86+2pi n and -0.86 +2pi n
d. -0.61+2pi n and 2.54+2pi n


My answer is B

Answer 1

Nope. Those answers are in QI and QIV

The solutions are in QI and QII:

sin(.71) = .65
so the solutions are

.71 + 2nπ
pi-.71 + 2nπ = 2.4 + 2nπ

Answer 2

The primary solutions are
.71 and π-.71
or
.71 and 2.43

so I would state it as
.71 + 2πn and 2.43 + 2πn , which is a variation of B

so you are correct, but I find their choice puzzling
(notice -3.85 + 2π = 2.43)

Answer 3

thank you