Trig question - any takers? (1 Viewer)

[Existential]

Q) Find all values of ø, domain 0-360degrees, given sinø+2/3=0.

I'm just confused with the 2/3. Could someone help me out here?

 

[Mature Lamb]

sinø+2/3=0
sinø=-2/3

does that help? =P

 

[Shadowdude]

sin(x) + 2/3 = 0
sin(x) = -2/3

Solve.

EDIT: DARN YOU ML AND YOUR QUICKNESS <_< =P

 

[SpiralFlex]

Move it to other side:



Solve it.

Third and fourth quadrant it is in because of the negative sign.

So, and

Therefore,

Degrees

 

[Bored Of Fail1]

sin(x) = -2/3

now sin inverse 2/3 gives 41.8 degrees, and sin is negative in third and fourth quadrants

so answer = 180+ 41.8 and 360 - 41.8

x= 221.8, 318.2 degrees

just because it doesnt five an exact ratio doesnt mean u should be scared

 

[Existential]

thankyou all once again for your very punctual answers.

 

[SpiralFlex]

No worries, good luck with exams!

 

[Bored Of Fail1]

sinø+2/3=0
sinø=-2/3

does that help? =P

yeh, that will get full marks in an hsc

im fairly sure the problem the OP had was because he didnt get 30,45 or 60 degrees as the related angle, and thus thought he was doing something wrong

 

[blackops23]

would the question make sense if it was sin(theta + 2/3)?? instead of sin(theta) + 2/3?

 

[Bored Of Fail1]

would the question make sense if it was sin(theta + 2/3)?? instead of sin(theta) + 2/3?

sin ( theta +2/3) equal to what?? as long as its between -1 and 1 there will be a solution