Help solving trig equations

Question

darkbluechocobo · Answer

-4csc(Theta)=8

darkbluechocobo · Answer

$$\csc(\Theta)=-8/4= -2$$

amorfide · Answer

you know that $$\csc \theta=\frac{ 1 }{ \sin \theta }$$

amorfide · Answer

this should help

amorfide · Answer

do the reciprocal of both sides to get $$\sin \theta =-0.5$$

darkbluechocobo · Answer

Well it says to put it in degrees which confuses me s:

amorfide · Answer

yeah, you will do inverse sin of -0.5
and you will get an answer for theta

just make sure your calculator is set to degrees

darkbluechocobo · Answer

well its not even that The answers tht I choose from are weird. Are they for reference angles?

	
60° + 360°k or 120° + 360°k
	
240° + 360°k or 300° + 360°k
	
30° + 360°k or 150° + 360°k
	
210° + 180°k or 330° + 180°k

amorfide · Answer

the +360k means any other angle it can be, since there are infinite answers

amorfide · Answer

but you will only look for the ones in the range 0<x<360

amorfide · Answer

which is why you get 2 answers, 60, 120
240,300
30,50
210,330

the +180k or 360k means the rest of the possible angles up to infinite

amorfide · Answer

hope that helps