Question

Suppose
csc x = 2, cos x > 0
find tan, cot, sec, csc, sin, cos

Answer 1

why is this not working :(

Answer 2

using the unit circle.

Answer 3

yes its not showing everything i posted :(

Answer 4

1/sinx=2
sinx=1/2
x=pi/6
plug in pi/6 to each function and take the positive value because cosx>0

Answer 5

\[\csc(x)=\frac{hyp}{opp}=\frac{2}{1}\]
\[=> \sin(x)>0 \] since \[\sin(x)=\frac{1}{2}\]

so we are working in quadrant 1

Answer 6

what are you guys seeing in my post?

Answer 7

all i see is
so we are working in quadrant 1

Answer 8

yes thats all you're posting lol

Answer 9

all I see is the same

Answer 10

:(
let me try this again

Answer 11

so we are working in quadrant 1 you say?

Answer 12

\[\csc(x)=2 => \sin(x)=\frac{1}{2} >0\]
we want cos(x) and sin(x) to both be positive

\[\cos(x)=\frac{\sqrt{3}}{2}\]