How do you solve the equation sin(x) = 1/2 for all values of x in between 0 and 2pi, including 0 but not 2pi?

Question

anonymous · Answer

Pick out all the angles with a sine of 1/2 from the unit circle.

turingtest · Answer

http://tutorial.math.lamar.edu/pdf/Trig_Cheat_Sheet.pdf

zzr0ck3r · Answer

memorize the unit circle and the "common" angles

turingtest · Answer

$$\sin\theta=x\iff\theta=\sin^{-1}x$$so to solve for x, or whatever you call the angle, you must take the inverse sine of both sides
there is no simple process for this, so you either have to be familiar with the unit circle, manipulate the expression with identities, or use a calculator depending on the situation

zzr0ck3r · Answer

I geuarnte your teacher wants you to know them

anonymous · Answer

So basically, pi/6 and 5pi/6 according to the Unit Circle?