Sine, Cosine and Tangent
Trignometric ratios
The ratio's between the sides of a triangle have the names Sine, Cosine and Tangent.
Sinθ=
Cosineθ =
tangentθ =
These ratios are known by the calculator and so if you know any one side and an angle you can find the missing sides with a calculator.
Acronym to memorize trig. ratios
SOH CAH TOA can be used to remember these trigonometric ratios because:
Sine (=) Opposite (over) Hypotenuse
Cosine (=) Adjacent (over) Hypotenuse
Tangent (=) Opposite (over) Adjacent
Trigonometric Ratios for non-right angled triangles
Law of Cosines:
This can be used to find the missing side of any triangle if you have two sides and the angle between them.
c2=a2+b2-2ab*Cos(C)
Sine Rule:
This can be used if you have either:
- Any two sides and one of the angles opposite one of the sides.
- Any two angles and one side that is opposite one of those angles.
SinAa=SinBb=SinCc
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