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 RatiosSine 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.

b. Use a calculator to find cos 85° to the nearest ten thousandth.

Answer:

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.