Question

if sin x=-4÷5 & x lies in the 3rd quadrant. find the value of other trignometric functions

Answer 1

Given,
$sinx=\frac{-4}{5}$
180°<x<270°
So,p=-4,h=5 and b=3
$cosx=\frac{3}{5}\\tanx=\frac{-4}{3}\\secx=\frac{-5}{4}\\cosecx=\frac{5}{3}\\cotx=\frac{-3}{4}$