Trigonometry #1 Distance Formula, (Degrees,Minutes,Seconds), Coterminal Angles, Trig Function Values.

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Presentation transcript:

Trigonometry #1 Distance Formula, (Degrees,Minutes,Seconds), Coterminal Angles, Trig Function Values

Distance Formula For finding the distance between two points

Distance Formula Ex 1: Find the distance between the points (-7,2) & (3,-8)

Distance Formula Ex 2: Find the distance between the points (3,5) & (2,12)

Distance Formula Ex3: Find the distance between the points

Distance Formula Ex4: Find the value of y so that the distance between the points is 5. (5,y) & (8,-1)

Distance Formula Ex4: Find the value of x so that the distance between the points is 17. (x,11) & (5,-4)

Distance Formula Ex5: Do the points form vertices of a right triangle? Show Your Work A(-9,-2), B(-1,-2), C(-9,-11)

Distance Formula Ex5: Do the points form vertices of a right triangle? Show Your Work A(-8,-4), B(-1,-2), C(-7,-11)

Degrees,Minutes,Seconds 1 Degree° = 60 Minutes’ 1 Minute’ = 60 Seconds” Ex1: Add the degrees and minutes 51° 29’ + 32°46’ 84°15’ Ex1: Add the degrees and minutes 90° - 73°12’ 16°48’

Conversions Convert 34.817° to degrees, minutes, and seconds.

Conversions Convert 74° 8’ 14” to decimal degrees.

Conversions Practice To Deg,Min,Sec 122.6853° 89.9004° To Decimal Degrees c) 274° 18’ 59” d) 165° 51’ 9”

Coterminal Angles

Coterminal Angles

Coterminal Angles

Coterminal Angles

Coterminal Angles

Coterminal Angles Find 3 angles coterminal to the following: 34° 123° -279° -106°

Coterminal Angles

Coterminal Angles Find the smallest posititve angle coterminal to the following: 623° 1023° -279° -106°

Trigonometric Values Sin = Opp/Hyp Sin = y/r Csc = Hyp/Opp Csc = r/y SOH CAH TOA Sin = Opp/Hyp Csc = Hyp/Opp Cos = Adj/Hyp Sec = Hyp/Adj Tan = Opp/Adj Cot = Adj/Opp Sin = y/r Csc = r/y Cos = x/r Sec = r/x Tan = y/x Cot = x/y

Trigonometric Values Find the 6 trig function values at the point (3,-4)

Trigonometric Values Find the 6 trig function values at the points: (-4,5) (2,5) (-3,-10)

Trigonometric Values Find all 6 trig function values given the equation 3x-y = 0, x>0 Start out by choosing a convenient value for x.

Trigonometric Values 2x-5y = 0, x<0 3x+7y =0, x>0 Find all 6 trig function values given the following equations: 2x-5y = 0, x<0 3x+7y =0, x>0