Download Trigonometric Ratios Graphic Organizer Parts of a right triangle

Trigonometric Ratios Graphic Organizer
Parts of a right triangle
α
a
b
d
e
c ___________
β
Trigonometric Ratios: ___________
Function Definition
Sine
f ____________
Example
Example
sin α = -----------------
sin β = -----------------
cos α = ----------------
cos β = -----------------
tan α = ---------------
tan β = -----------------
Cosine
Tangent
Relationships among trigonometric ratios:
The _______ of an angle and the ________ of its compliment are ________.
Example:
The _________ of an angle is the same as the _____ of the angle divided by the
______ of the angle
Example:
The _______ of an angle and the _______ of its ________ are ________ of each other
Example:
Trigonometric Ratios Graphic Organizer
Parts of a right triangle
α
a
b
d
e
c ___________
Trigonometric Ratios – SOH CAH TOA
Function Definition
Sine = opposite
hypotenuse
Cosine = adjacent
hypotenuse
Tangent = opposite
adjacent
β
f ____________
Example
Example
sin α = -----------------
sin β = -----------------
cos α = -------------------
cos β = -----------------
tan α = ---------------
tan β = -----------------
Relationships among trigonometric ratios:
The sine of an angle and the cosine of its compliment are equal.
Example: sin 30 = 0.5 and cos 60 = 0.5
The tangent of an angle is the same as the sine of the angle divided by the cosine of the
angle
Example: tan 30 
sin 30
0.5

 0.577
cos 30 0.866
The tangent of an angle and the tangent of its compliment are reciprocals of each other
Example:
=
√
=√