Question

Angle 0 is in standard position. if sin(0) = -1/3, < 0 < 3/2 , find cos (0).

Answer 1

-2 sqrt (2) /3

Explanation:

sin = -1/3 its in the 3rd quadrant so sin is negative cos is negative

sin^2 O + cos ^2 O = 1

1 - (1/9) = cos^2 O

`\cos( \alpha ) = ( - 2 √(2) )/(3)`