how to solve 0 = sin (2x - 3)?

Question

anonymous · Answer

do you have to use a calculator? if so, how?

anonymous · Answer

arcsin(0) = 2x-3

anonymous · Answer

Ok... and then?

anonymous · Answer

solve for x

anonymous · Answer

( arcsin (0) + 3 )/2?

anonymous · Answer

mhm

anonymous · Answer

then what is the answer?

anonymous · Answer

Im sorry Im having a brain block..

anonymous · Answer

Because usually, you'd only have x in the sin's bracket. but now you have an expression inside instead - so how would I simplify/solve?

anonymous · Answer

sin and arcsin find different things, look at your notes if you dont remember what arcsin means

anonymous · Answer

one returns an angle and the other a side

anonymous · Answer

@optiquest ok, I don't actually have notes, but how would I go about Google searching info on arcsin and my original question? (aka what keywords/topic is this? ) thank you!

anonymous · Answer

look up inverse trigonometric functions. if you watch this it would help i think https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/inverse_trig_functions/v/inverse-trig-functions-arcsin

anonymous · Answer

no I get that; I get the questions where the x in sin (x) is a number and not an expression. But I don't know how to solve my original question...would you be able to solve it with steps? thank you!!

irishboy123 · Answer

|dw:1429788036682:dw|

2x - 3 = n π
SO
x = 3/2 + π n/2

 where n is any integer..........