Find csc 0 if tan 0 = 3/4.

Tan t (theta) = 3/4

sin t / cos t = 3/4

3 cos t = 4 sin t

cos t = 4 sin t/3

sin² t + cos² t = 1

sin² t + (4 sin t / 3) ² = 1

sin² t + 16 sin² t / 9 = 1 / * 9

9 sin² t + 16 sin² t = 9

25 sin² t = 9

sin² t = 9/25

sin t = 3/5

csc t = 1 / sin t

csc t = 1 : 3/5

Answer:

csc t = 5 / 3