Trigonometric Identities
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6Trigonometric Identities
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Trigonometric Identities
Basic Identities:
y
r
sin θ =
( 1 )
y
r
θ
x
cos θ =
( 2 )
x
r
sin θ
y
tan θ =
x =
( 3 )
cosθ
cos θ
x
1
cot θ =
y =
=
( 4 )
tan θ
sinθ
r
1
r
1
sec θ =
csc θ =
=
( 5 )
=
( 6 )
x
y
cos θ
sin θ
Unit Circle
π/2, 90°
•
2π/3
π/3, 60°
•
•
π/4, 45°
3π/4
•
•
π/6, 30°
5π/6
•
•
1
sin θ
θ
π
0
•
•
cos θ
11π/6
7π/6
7π/4
5π/4
5π/3
4π/3
•
3π/2
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