Question

If 17 cos0 = 8, then find the value of 15 cosec O.(0 stands for theta)​

Answer 1

Answer:

15 cosec O = 17

Step-by-step explanation:

cosO = adj/hyp

17 cos O = 8

cos O = 8/17

adj = 8, hyp = 17

using Pythagoras theorem

${hyp}^{2} = {adj}^{2} + {opp}^{2} \\ {17}^{2} = {8}^{2} + {opp}^{2} \\ 289 = 64 + {opp}^{2} \\ {opp}^{2} = 289 - 64 \\ {opp}^{2} = 225 \\ opp = \sqrt{225} = 15$

cosec O = hyp/opp

cosec O = 17/15

15 cosec O = 17

hope you get your answer