DegreesMinutesSeconds Coterminal Angles Trig Function Values Distance Formula For finding the distance between two points Distance Formula Ex 1 Find the distance between the points 72 amp 38 ID: 760329
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Slide1
Trigonometry #1
Distance Formula, (
Degrees,Minutes,Seconds
),
Coterminal
Angles, Trig Function Values
Slide2Distance Formula
For finding the distance between two points
Slide3Distance Formula
Ex 1: Find the distance between the points (-7,2) & (3,-8)
Slide4Distance Formula
Ex 2: Find the distance between the points (3,5) & (2,12)
Slide5Distance Formula
Ex3: Find the distance between the points
Slide6Distance Formula
Ex4: Find the value of y so that the distance between the points is 5.(5,y) & (8,-1)
Slide7Distance Formula
Ex4: Find the value of x so that the distance between the points is 17.(x,11) & (5,-4)
Slide8Distance Formula
Ex5: Do the points form vertices of a right triangle? Show Your WorkA(-9,-2), B(-1,-2), C(-9,-11)
Slide9Slide10Distance Formula
Ex5: Do the points form vertices of a right triangle? Show Your WorkA(-8,-4), B(-1,-2), C(-7,-11)
Slide11Slide12Degrees,Minutes,Seconds
Ex1: Add the degrees and minutes51° 29’ + 32°46’
Ex1: Add the degrees and minutes90° - 73°12’
1 Degree° = 60 Minutes’ 1 Minute’ = 60 Seconds”
84°15’
16
°48’
Slide13Conversions
Convert 34.817° to degrees, minutes, and seconds.
Slide14Conversions
Convert 74° 8’ 14” to decimal degrees.
Slide15Conversions Practice
To
Deg,Min,Sec
122.6853
°
89.9004°
To Decimal Degrees
c) 274° 18’ 59”
d) 165° 51’ 9”
Slide16Coterminal Angles
Slide17Coterminal Angles
Slide18Coterminal Angles
Slide19Coterminal Angles
Slide20Coterminal Angles
Slide21Coterminal Angles
Find 3 angles coterminal to the following:
34°
123°
-279°
-106°
Slide22Coterminal Angles
Slide23Coterminal Angles
Find the smallest posititve angle coterminal to the following:
623°
1023°
-279°
-106°
Slide24Trigonometric Values
SOH CAH TOA
Sin = Opp/HypCsc = Hyp/OppCos = Adj/HypSec = Hyp/AdjTan = Opp/AdjCot = Adj/Opp
Sin = y/r
Csc
= r/y
Cos = x/r
Sec = r/x
Tan = y/
x
Cot = x/y
Slide25Trigonometric Values
Find the 6 trig function values at the point (3,-4)
Slide26Trigonometric Values
Find the 6 trig function values at the points:
(-4,5)
(2,5)
(-3,-10)
Slide27Trigonometric Values
Find all 6 trig function values given the equation 3x-y = 0, x>0
Start out by choosing a convenient value for x.
Slide28Trigonometric Values
Find all 6 trig function values given the following equations:
2x-5y = 0, x<0
3x+7y =0, x>0