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

2. Distance Formula
For finding the distance between two points

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

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

5. Distance Formula
Ex3: Find the distance between the points

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

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

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

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

12. Degrees,Minutes,Seconds
1 Degree° = 60 Minutes’ 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’

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

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

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

16. Coterminal Angles

17. Coterminal Angles

18. Coterminal Angles

19. Coterminal Angles

20. Coterminal Angles

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

22. Coterminal Angles

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

24. 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

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

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

27. 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.

28. 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