Problema Solution
If the terminal side of the angle θ is on the line Y=-1/4X and is in quadrant II, find sin θ and cos θ
Answer provided by our tutors
LET POINT BE ( 1,-1/4)
The given line passes through the origin
HORRIZONTAL DISTANCE = 1
VERTICAL DISTANCE = 1/4
the hypotenuse = sqrt(1/4^2 +1^2)= SQRT17/2
SIN I = 1/4/SQRT17/2 = 1/2 sqrt 17
COS I = - 2/sqrt 17 as in SECOND QUADRANT COS ANGLE IS NEGATIVE