Does anyone know how to do this? i can only get one answer : /
solve the equation:
sin (x + 80°) = 0.6
for -180° < x 180°
ans - x = –86.26° or 126.26°

Forgive me, but those two answers are not correct.


You have no way to operate directly with the nuts and bolts of the sine function.
You have to use a table and look it up.

To start, look up the angle that has its sine = 0.6 .

That's 37.87° degrees and 143.13°
Wonderful. Now we know that
(x + 80°) = 37.87°
and
(x + 80°) = 143.13°

Take each equation and subtract 80° from the left side of it,
and you wind up with

x = -42.13°
and
x = 63.13°

What part of this is complicated or confusing ?

The answer of the above question is