Question

sin 2x= 1/2

Answer 1

x =15 deg

Answer 2

because 1/2=sin30 = sin 2x
therefore 2x=30
x=15

Answer 3

Also, sine is positive in the second quadrant, so sine of 2x=(180-30) = 1/2 also. So x=75 degrees is a solution too.

Answer 4

These are principle solutions. The general solution is \[\theta = n.180^o+(-1)^n30^o\]

Answer 5

thats wrong i need it in the interval [0, 2 pi)

Answer 6

You can convert from degrees to radians. It's equivalent, not wrong.

\[180^o = \pi^c \rightarrow 1^o=\frac{\pi^c}{180}\rightarrow 15^o=\frac{15\pi}{180}=\frac{\pi}{12}\]

Answer 7

do you know the answer

Answer 8

yes

Answer 9

would 5 pi / 12 be equl to it to?

Answer 10

\[75^o=\frac{75\pi}{180}=\frac{5\pi}{12}\]

Answer 11

yes

Answer 12

I need the multiple angle equation of x/2 = negative square root of 3/ 2

Answer 13

Can you be clearer?

Answer 14

cos x/2= - square root 3 /2

Answer 15

Cosine in negative in the second and third quadrants. So, given cos(theta)=sqrt(3)/2 implies theta = 30 degrees, the angles needed here are:

(i) 180-30 = 150
(ii) 180+30 = 210

Answer 16

So

(i) x = 300
(ii) x = 420

which you convert to radians, and then subtract integral multiples of 2pi until the angle lies in your principal domain [0,2pi) here.

Answer 17

yeah i need it in the principal domain [0, 2 pi)

Answer 18

please hurry up this test is due in 15 minutes and i am clueless

Answer 19

hey gut that has been helping me

Answer 20

wtf, i'm not your lackey. just put down 5pi/3

Answer 21

lol, calm down loki ^_^