Question #efb86

1 Answer
Feb 17, 2018

#sin t = - 3/5#

Explanation:

#tan t = 3/4# --> #cot t = 1/(tan t) = 4/3#
Use trig identity:
#sin^2 t = 1/(1 + cot^2 t) = 1/(1 + 16/9) = 9/25#
#sin t = +- 3/5#
Since tan t > 0, and cos t < 0, therefor, sin t should < 0.
#sin t = - 3/5#