Question

sin(2x-1)=1/2

Answer 1

take arcsin (or inverse sine) on both sides. Solve for x.

Answer 2

how?

Answer 3

you can do it on your calculator or Google calculator. Or you can look up trig tables and see when sine is 1/2.

Answer 4

when sin equals to 1/2 ~~ what ab sin 30 degree?

Answer 5

I would do it in radians.

Answer 6

Actually I forgot this part~~ Is it asking to answer in form of a+bi for it's a degree? Or is it asking for something else?

Answer 7

ranga please write me answer in radians :) if you can.

Answer 8

sin(2x-1)=1/2
(2x-1) = arcsin(1/2)
= pi/6 or 5/6pi or multiples of +/- 2n(pi)
add 1 to both sides
2x = 1 + pi/6 or 1 + 5/6pi
divide by 2
x = 1/2 + pi/12 or 1/2 + 5/12pi

I have only considered arcsine in the domain [0, 2pi]
But I will leave it to you to do the multiples of +/- 2n(pi)

Answer 9

you are great!

Answer 10

glad to be able to help.