Question

Write cot(t) in terms of sin(t) if the terminal point determined by t is in the fourth quadrant. do not leave a fraction inside a radical or use absolute value.

Answer 1

cot(t)= cos(t) / sin(t)
Cos(t) = sqrt(1 - sin^2(t) ) But this is in quad 4, so sin(t) <0
cot(t) = sqrt(1 -sin^2(t)) / - sint(t)
cot(t) = - sqrt( 1 - sin^2(t) ) / sin(t)