trigonometric a level quetion

[santeria13]

Hi , im stuck on one problem which there is a photo of underneath:



Its queston 2, part (b)

ok, so ive tried making the equation 2x (1/sin2x) = 3/2 and thas that 1/sin2x = 3/4 but wouldnt that only give one answer, however the question asks for answers :s .

can any body help?

 

[DrPhil]

Hi , im stuck on one problem which there is a photo of underneath:

View attachment 3165

Its queston 2, part (b)

ok, so ive tried making the equation 2x (1/sin2x) = 3/2 and thas that 1/sin2x = 3/4 but wouldnt that only give one answer, however the question asks for answers :s .

can any body help?

For theta in the 1st quadrant, sin(theta) = sin(180° - theta).