Many students think they've solved a trig equation when ... sin x^\circ = \frac{3}{4}\) Since this is sin and is positive this means that we will be in the two quadrants in which the sine function ...

sin x^\circ = \frac{3}{4}\) Since this is sin and is positive this means that we will be in the two quadrants where the sine function is positive - the first and second quadrants.