2. Solving Oblique Triangle
II. Solving Oblique Triangle
Introduction:
1. The Problem:
Oblique triangle has no equal sides and angles and no angle 900. One angle might be more than 900. Is the trigonometric functions hold true?
2. Trigonometric Function of Any Angle.
a. Generation of Angle on a Rectangular Coordinate.
Y - ordinate
P
(+) r Positive angle (Counter clockwise)
II Terminal side I
y
(-) ( Initial side (+) X - Abscissa
O x
Negative Angle (clockwise)
III IV
(-)
b. Trigonometric Function of Any Angle
y ordinate r radius
Sin ( = = Cosecant ( = =
r radius y ordinate
x Abscissa r radius
Cosine ( = = Secant ( = =
r radius x Abscissa
y ordinate x Abscissa
Tangent ( = = Cotangent ( = =
x Abscissa y ordinate
| |Sin |Cos |Tan |Cot |Sec |Csc |
|QI 0 ................
................
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