Ask your own question, for FREE!
Mathematics 57 Online
OpenStudy (anonymous):

sin 2x= 1/2

OpenStudy (divanshu):

x =15 deg

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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.

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

You can convert from degrees to radians. It's equivalent, not wrong. \[180^o = \pi^c \rightarrow 1^o=\frac{\pi^c}{180}\rightarrow 15^o=\frac{15\pi}{180}=\frac{\pi}{12}\]

OpenStudy (anonymous):

do you know the answer

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

would 5 pi / 12 be equl to it to?

OpenStudy (anonymous):

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

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

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

OpenStudy (anonymous):

Can you be clearer?

OpenStudy (anonymous):

cos x/2= - square root 3 /2

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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.

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

hey gut that has been helping me

OpenStudy (anonymous):

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

OpenStudy (anonymous):

lol, calm down loki ^_^

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Latest Questions
SsTDOGRednek: How many x and y chromosomes do we have? I forget...
1 minute ago 5 Replies 2 Medals
SsTDOGRednek: What Element is I?
1 hour ago 3 Replies 1 Medal
SsTDOGRednek: What is the compound I?
1 hour ago 7 Replies 1 Medal
danielfootball123: HAPPY EASTER!!!!
7 hours ago 24 Replies 3 Medals
ShadowKid3: I drew Leon again (used suggestions from last art post) so Leon v2 :D
18 hours ago 4 Replies 0 Medals
Puck: for all you amazing people
1 hour ago 4 Replies 2 Medals
Breathless: update on drawing.
21 hours ago 12 Replies 5 Medals
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!