Question

Please help. WILL MEDAL! @Erak @jim_thompson5910 @Mehek14 @triciaal @hartnn @sleepyjess @johnweldon1993 @satellite73 @dumbcrow

Answer 1

\[2 + \sqrt{3} \csc \theta = 0\]

Answer 2

isolate for csc theta

Answer 3

\[0 \le \theta < 360\]

Answer 4

\[csc \theta = \frac{ -2 }{ \sqrt{3} }\]

Answer 5

yeah, so do you know what the reciprocal of csc is?

Answer 6

sine function

Answer 7

So what do I do next?

Answer 8

So in order to get sin, it's 1/csc right? Get the reciprocal of the other side as well

Answer 9

\[\frac{ 1 }{ \sin } \theta = - \frac{ \sqrt{3} }{ 2 }\]

Answer 10

it'd be just sin theta, though. Do you know how to use the unit circle/CAST rule to solve it afterwards?

Answer 11

No

Answer 12

@okdutchman7 you should have this as part of your steps

\[\Large \csc(\theta) = -\frac{2}{\sqrt{3}}\]
\[\Large \frac{1}{\sin(\theta)} = -\frac{2}{\sqrt{3}}\]
\[\Large \frac{\sin(\theta)}{1} = -\frac{\sqrt{3}}{2}\]
\[\Large \sin(\theta) = -\frac{\sqrt{3}}{2}\]

Answer 13

okay so i flipped it too early.

Answer 14

Thank You! the answer is 240 and 300.

Answer 15

`the answer is 240 and 300. `

yes those are the two solutions for theta where

0 <= theta < 360