I know this may be a very informal question but I want to know the difference between these two types of questions.
Find solutions between 0 and 2pi to the following equations
a) 4 sin (x) + 2 = 6
sin(x) = pi/2
Sin is positive in Quadrant 1 and 2
x = pi/2, pi - pi/2
x = pi/2
b) sin (x/3) + 5 = 5.32
sin (x/3) = 0.32
x = 0.32 x 3 = 0.96
OK - so this is my question. For question A, my answer was an exact value, so does that mean I need to consider what quadrant it is in and find it's equivalent angle? On the other hand, 0.32 is not an exact value and thus I wouldn't need to find it's equivalent angles? And that's why they just solved for x straight out?
Sorry if this question is really confusing but I can't really explain my problem! It's just that these two questions are solved differently because one is an exact value and the other one isn't (0.32) and I just want to know why. Thanks!