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Right Triangle Def.
Sine Def.
Cosine Def.
Tangent Def.
Cosecant Def.
Secant Def.
Cotangent Def.
Unit Circle Def.
Properties of Trig Func.
Domain
Range
Period
Inverse Trig Func.
Def. of Inverse Trig Func.
Domain of Inverse Trig
Range of Inverse Trig
To define the trigonometric functions of an angle theta assign one of the angles in a right triangle that value. The functions sine, cosine, and tangent can all be defined by using properties of a right triangle. A right triangle has one angle that is 90 degrees. The longest side of the triangle is the hypotenuse. The side opposite theta will be referred to as opposite. The other side next to theta will be referred to as adjacent. The following properties exist:
The possible angle input for each function is defined below:
can be any angle
can be any angle
The ranges of values possible for each of these functions are:
The periods for each of these trig functions are:
The definitions of the inverse trig functions are:
Inverse Trig functions are also notated as:
can be any angle
can be any angle