If sin(θ) = 1/4 and θ is in the 2nd quadrant, find cos (θ)

Question

If sin(θ) = 1/4 and θ is in the 2nd quadrant, find cos (θ)

cos(θ) = ?

Answer 1

sin(θ) = 1/4

(θ) =14.477.......

The only way to get another sin14.477 is in the 3rd quad=194.477°; it'll be negative.