Question

csc x= (4√3)/3 and cos x<0, evaluate the function below:
sin x

Answer 1

@lamp12345 as already mentioned csc x = 1/sinx also as cosx is less than zero this means it is in second quadrant

Answer 2

well if thats the case then 1*csc x would be obvious but thats not answer.

Answer 3

sinx = 1/csc x not 1*csc x

Answer 4

still not getting it.

Answer 5

sinx = \[\sqrt{3}/4\]

Answer 6

Look at it like this,
\[\csc x= \frac{4\sqrt{3}}{3}\]
We know that, from trig identity\[\csc{x}=\frac{1}{\sin{x}}\]
So
\[\frac{1}{\sin(x)}=\frac{4\sqrt{3}}{3} \\ \\ \sin(x)=\frac{3}{4\sqrt{3}}\]