Question

If cosec theta=5/3, then find sin theta/cos theta

Answer 1

sin theta =1/ cosec theta

sin theta = 1/5/3

sin theta = 3/5

sin square theta + cos square theta =1

3/5 square +cos square theta =1

9/25 + cos square theta =1

cos square theta=1-9/25

cross multiple

cos square theta =16/25

costheta =4/5