CHAPTER 4 TRIGONOMETRY Flashcards
adjacent side
In a right-angled triangle, the side that is next to a given angle
hypotenuse
The longest side of a right-angled triangle, the side opposite the right angle
minute
A unit for measuring angle size, 1/60 of a degree
opposite side
In a right-angled triangle, the side that is facing a given angle
theta symbol
A letter of the Greek alphabet used as a pronumeral for angles
trigonometric ratio
The ratio of t__ sides in a right angled t______, for example, s___ is the ratio of the o_______ side to the h________
trigonometric ratio
The ratio of two sides in a right angled triangle, for example, sine is the ratio of the opposite side to the hypotenuse
Ratio abbreviation Meaning
s___ s__ sin = o______/h_______
c_____ c__ cos = a______/h_______
t______ t__ tan = o_______/a_______
Ratio abbreviation Meaning
sine sin sin = opposite/hypotnuse
cosine cos cos = adjacent/hypotnuse
tangent tan tan = opposite/adjacent
S___ C___ T___
SOH CAH TOA
These four triangles are called s_____ triangles because their c__________ angles are e____.
These four triangles are called similar triangles because their corresponding angles are equal.
For any given a____, the values of the s___, c_____ and t______ ratios are c_______.
For any given angle, the values of the sine, cosine and tangent ratios are constant.
1° = __’ (_ degree = 60 m______)
_’ = 60” (1 m______ = __ seconds)
1° = 60’ (1 degree = 60 minutes)
1’ = 60” (1 minute = 60 seconds
An unknown angle can be found using the s__–1 , c__–1 and t__–1 keys on the c_______.
These are called the i_____ sin, inverse c__ and i______ tan functions, found by pressing the S_____ key before each f______.
An unknown angle can be found using the sin–1 , cos–1 and tan–1 keys on the calculator.
These are called the inverse sin, inverse cos and inverse tan functions, found by pressing the SHIFT key before each function.
