If 5 sin(t) − cos(t) = 0, find all possible values of sin(t) and cos(t).

Answer 1

5sint = cost

5 = cost/sint = cott = adjacent side/opposite side, with hypotenuse = sqr26

in Quadrant I, sint = 1/sqr26, cos = 5/sqr26

in Quadrant III, just make them both negative, sint=-1/sqr26, cost=-5/sqr26