Transcript Trigonometric Ratios

Trigonometric Ratios
Trigonometry – The branch of mathematics
that deals with the relations between the
sides and angles of triangles, and the
calculations based on them.
- Webster’s Collegiate Dictionary
Trigonometric Ratio – A ratio of the lengths
of sides of a right triangle.
Trigonometric Ratios
Sine A = length of the side opposite the angle
length of the hypotenuse
Cosine  A = length of the side adjacent to the angle
length of the hypotenuse
Tangent  A = length of the side opposite the angle
length of the side adjacent to the angle
S-O-H-C-A-H-T-O-A
Find sin A, cos A, tan A, sin B, cos B, and tan B.
Express each ratio as a fraction and as a decimal.
Answer:
a. Use a calculator to find sin 48° to the nearest ten
thousandth.
Answer:
b. Use a calculator to find cos 85° to the nearest ten
thousandth.
Answer:
CONSTRUCTION The bottom of a handicap ramp is
15 feet from the entrance of a building. If the angle of
the ramp is about
how high does the ramp rise
off the ground to the nearest inch?
Answer: about 15 in.