The angle t is an acute angle and sin t and cos t are given. Use identities to find tan t, csc t, sec t, and cot t. Where necessary, rationalize denominators.

Question

sin t = 4/5

cos t = 3/5

tan t = ____

Answer 1

sint = 4/5, cost = 3/5

tant = sint/cost = 4/3

sec = 1/cost = 5/3

csct = 1/sint = 4/3

cott = 1/tant = 3/4

Answer 2

tan t = sin t / cos t

tan t = (4/5) / (3/5)

tan t = 4/3

Answer 3