1. Right Triangle Ratios
Chapter 6

2. The hypotenuse will always be the side opposite of the right angle
The hypotenuse will always be the side opposite of the right angle. However, the opposite and adjacent sides are dependent upon where the angle in question is located.
Right Triangle
hypotenuse
Opposite side
Adjacent side

3. The six trigonometric ratios are:
Right Triangle
sine, cosine, and tangent
cosecant, secant, and cotangent
hypotenuse
Opposite side
Adjacent side
opposite
oscar
hypotenuse 1
sin  =
csc  =
csc  =
hypotenuse
has
opposite
sin θ 1
adjacent a
hypotenuse
sec  =
cos  =
sec  =
cos θ
hypotenuse
heap
adjacent
opposite of
adjacent 1
tan  =
cot  =
cot  =
adjacent
apples
opposite
tan θ

4. Find the exact value of the six trigonometric functions.

5. Find the exact value of the six trigonometric functions.

6. Find the exact value of the six trigonometric functions.

7. Find the exact value of the six trigonometric functions.

8. Using a calculator, find the approximate value of each.
1. Cos 48°
.67 1
csc  =
sin θ
2. Csc 21°
2.79 1
sec  =
cos θ
3. Cot 60°
.58 1
cot  =
tan θ
4. Sec 53°
1.66

9. Solve the triangle. Round sides to the nearest tenth and angles to the nearest whole degree.

10. Solve the triangle. Round to the nearest tenth and angles to the nearest whole degree.

11. Solve the triangle. Round to the nearest tenth and angles to the nearest whole degree.

12. Solve the triangle. Round to the nearest tenth and angles to the nearest whole degree.