true or false
there is no solution to the equation csc x=-1
explain why it is true or false please!

Question

true or false
there is no solution to the equation csc x=-1
explain why it is true or false please!

campbell_st · Answer

well what do you know about csc(x)...?

cutiecomittee123 · Answer

Hmm nothing that I can think of off the top of my head. I am not very farmiliar with it/

cutiecomittee123 · Answer

i think its 1/sin x

campbell_st · Answer

ok... well that will make it extremely hard to  come up with an answer.... 

its a trig ratio... the reciprocal of one of the well known ratios... 

any thoughts..?

cutiecomittee123 · Answer

Not necessarily

campbell_st · Answer

great so you have 

1/sin(x) = -1

multiply both side by sin(x) what do you get..?

cutiecomittee123 · Answer

sin x = 1 ???

cutiecomittee123 · Answer

Wait so since csc= 1/sin then it just means that sin x = -1 when csc is equal to one, therefore there is a solution so it is false?

campbell_st · Answer

almost.... 

-sin(x) = 1

then multiply both sides by -1 

and you get 

sin(x) = -1

is there an angle measure where sin(x) = -1...?

knowing what the sin curve looks like may help

campbell_st · Answer

that's correct... there is a solution so your choice of false is correct

cutiecomittee123 · Answer

cool thanks:)