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Chapter9 Trigonometry
9.1 Right Triangle Trig
A. OBJ: to use trig functions to find lengths of a right triangle
B. Facts/Formulas:
1. Trig Definitions (p. 556):
2. Special Angles (p. 557):
3. Solving a triangle – finding all side lengths (a,b,c) and angle
measures (A, B, C).
a) If sin A = x, then sin-1 x = m < A.
b) If cos A = x, then cos-1 x = m < A
c) If tan A = x, then tan-1 x = m < A.
4. All angles of a triangle = 1800.
5. Angles of sight:
a. Angle of elevation-< made when you look up from the
horizontal line of sight.
b. Angle of depression- < made when you look down from the
horizontal line of sight.
9.2 Angle and Radian Measure
A. OBJ: To measure angles in degrees and radians
B. Facts/Formulas:
1. Angles in standard position (p. 563):
2. Radian Measure (p. 564):
3. Special Angles (p. 565):
4. Sectors of a Circle (p. 565):
9.3 Trig Fncs of Any Angle
A. OBJ: to evaluate trig fncs of any angle
B. Facts/Formulas:
1. General Trig Definitions (p. 570):
2. Unit Circle (p. 571):
3. Reference Angles (p. 572):
4. Quadrant Values (p. 572):
9.4 Inverse Trig Fncs
A. OBJ: to find the angle measures given the sides or trig values
B. FACTS/Formulas:
1. Inverse Trig fnc (p. 579):
9.5/9.6 Law of Sines and Cosines
A. OBJ: to use Laws of Sines and Cosines to solve for any .
B. FACTS:
1. Laws of Sines:
=
=
2. Laws of Cosines:
a2 = b2 + c2 – 2bc Cos A
b2 = a2 + c2 - 2ac Cos B
c2 = a2 + b2 – 2ab Cos C