Review of Quadrant I
Quadrant II
sin θ = sin θ = cos θ = r
y
θ
x
tan θ =
csc θ = -x
csc θ = cot θ = cot θ = Quadrant IV
sin θ = sin θ = cos θ = cos θ = tan θ =
θ
sec θ = cot θ = tan θ =
x
θ
r
tan θ =
θ
sec θ = csc θ = -y
cos θ = r
sec θ = Quadrant III
-x
y
-y
r
csc θ = sec θ = cot θ = 1
Example 1:
Summary:
Find the exact values of the six trig functions given that
(-2, 9) is on the terminal side of a triangle in standard position.
sin θ = S A
T C
cos θ = tan θ =
csc θ = sec θ = cot θ = Example 2:
Example 3:
Find the exact values of the six trig functions given that
In which quadrant lies θ if sinθ < 0 and cosθ > 0?
sinθ =
with the constraint that θ is in Quadrant IV.
sin θ = cos θ = tan θ =
csc θ = sec θ = cot θ = 2