If csc(x)=2, for 90∘<x<180∘, then

Question

If  for  then

a) sin(x/2)=

b cos

c) tan(x/2)=

Answer 1

well then just like last time...

since the cosecant is 2 , then sine must be 1/2

this forces the angle to be 30 off the x-axis in quadrant 2 which is 150,

where the sine is positive. So far... so good

half that angle is 15 degrees... which is 15/180 * pi = pi/12

so sin(pi/12), cos(pi/12), and tan(pi/12) are , RESPECTIVELY,

0.25881904510252076234889883762405, 0.9659258262890682867497431997289

and 0.26794919243112270647255365849413