This document discusses trigonometric functions and their ratios, including sine, cosine, tangent, cosecant, secant, and cotangent. It provides examples of using trigonometric functions to solve values in right triangles, including finding missing side lengths and angle measures. Special right triangles with ratios of 1/2, 1/√3, and 1/√2 are also covered.

2. Trigonometric ratios
Sine sin
Cosine cos
Tangent tan
Cosecant csc
Secant sec
Cotangent cot

4. SOH
CAH
TOA

6. Find the value of the six
trigonometric functions
for angle G.

7. Find the value of the six
trigonometric functions
for angle G.
adj
hyp = 40 opp
opp = 24
adj = 32
hyp

8. adj
opp
hyp

9. If find the value of csc A.

10. If find the value of csc A.

11. If find the value of csc A.

12. If find the value of csc A.

13. If find the value of csc A.

14. If find the value of csc A.

15. If find the value of csc A.

16. If find the value of csc A.

17. If find the value of csc A.

18. Special Triangles (page 703)

19. Find the value of x. Round
to the nearest tenth.

20. Find the value of x. Round
to the nearest tenth.
hyp
opp

21. Find the value of x. Round
to the nearest tenth.
hyp
opp

22. Find the value of x. Round
to the nearest tenth.
hyp
opp

23. Find the value of x. Round
to the nearest tenth.
hyp
opp
or about 10.4

24. Solve XYZ. Round measures of sides to the nearest tenth
and measures of angles to the nearest degree.
z
x

25. Solve XYZ. Round measures of sides to the nearest tenth
and measures of angles to the nearest degree.
z hyp
x
opp
adj

26. Solve XYZ. Round measures of sides to the nearest tenth
and measures of angles to the nearest degree.
z hyp
x
opp
adj
Find angle Y

27. Solve XYZ. Round measures of sides to the nearest tenth
and measures of angles to the nearest degree.
z hyp
x
opp
adj
Find angle Y
28 + 90 + Y = 180

28. Solve XYZ. Round measures of sides to the nearest tenth
and measures of angles to the nearest degree.
z hyp
x
opp
Find z
adj
Find angle Y
28 + 90 + Y = 180
Y = 62o

29. Solve XYZ. Round measures of sides to the nearest tenth
and measures of angles to the nearest degree.
z hyp
x
opp
Find z
adj
Find angle Y
11
28 + 90 + Y = 180
z
Y = 62o

30. Solve XYZ. Round measures of sides to the nearest tenth
and measures of angles to the nearest degree.
z hyp
x
opp
Find z
adj
Find angle Y
11
28 + 90 + Y = 180
z
Y = 62o

31. Solve XYZ. Round measures of sides to the nearest tenth
and measures of angles to the nearest degree.
z hyp
x
opp
Find z
adj
Find angle Y
11
28 + 90 + Y = 180
z
Y = 62o

32. Solve XYZ. Round measures of sides to the nearest tenth
and measures of angles to the nearest degree.
Find x
z hyp
x
opp
adj
Find angle Y
28 + 90 + Y = 180
Y = 62o

33. Solve XYZ. Round measures of sides to the nearest tenth
and measures of angles to the nearest degree.
Find x
z hyp
x
opp
adj
Find angle Y
28 + 90 + Y = 180
Y = 62o

34. Solve XYZ. Round measures of sides to the nearest tenth
and measures of angles to the nearest degree.
Find x
z hyp
x
opp
adj
Find angle Y
28 + 90 + Y = 180
Y = 62o

35. Solve XYZ. Round measures of sides to the nearest tenth
and measures of angles to the nearest degree.
Find x
z hyp
x
opp
adj
Find angle Y
28 + 90 + Y = 180
Y = 62o

36. Solve XYZ. Round measures of sides to the nearest tenth
and measures of angles to the nearest degree.
Find x
z hyp
x
opp
adj
Find angle Y
28 + 90 + Y = 180
Y = 62o