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The Sine & Cosine Ratios. Tutorial 15b. B. Hypotenuse. Leg opposite A. A. C. Leg Adjacent to A. Sine & Cosine. The tangent ratio, as you’ve seen, involves both legs of a right triangle. The Sin and Cosine ratios involve one leg and the hypotenuse. G. 17. 8. T. R. 15. Example 1. - PowerPoint PPT Presentation
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The Sine & Cosine Ratios
Tutorial 15b
Sine & Cosine
The tangent ratio, as you’ve seen, involves both legs of a right triangle. The Sin and Cosine ratios involve one leg and the hypotenuse.
Hypotenuse
B
AC Leg Adjacent to A
Leg opposite A
hypotenuse
adjacentA
hypotenuse
oppositeA
Cos
Sin
Example 1
Refer to GRT at the left. Find each ratio.
a. sin T b. cos T c. sin G d. cos G G
R T
17
15
8
Check your Answers!
Example 1
Refer to GRT at the left. Find each ratio.
a. sin T b. cos T c. sin G d. cos G G
R T
17
15
8
17
8sin a.
hypotenuse
oppositeT
17
15 cos b.
hypotenuse
adjacentT
17
15sin c.
hypotenuse
oppositeG 17
8 cos d.
hpotenuse
adjacentG
Angle of Depression and Elevation
Suppose a person in a hot-air balloon sees a person at an angle of 38 degrees below a horizontal line. This angle is an angle of depression. At the same time, the person on the ground sees the hot-air balloon at an angle of 38 degrees above a horizontal line. This angle is an angle of elevation.
Hot-air Balloon
Angle of elevation
Horizontal line
Horizontal line
38°
38 °
