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
