Unit 10 Day 1

Front

What is the definition of sine (sin) in a right triangle?

Back

Sine (sin) of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the definition of cosine (cos) in a right triangle?

Back

Cosine (cos) of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the definition of tangent (tan) in a right triangle?

Back

Tangent (tan) of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

Front

How do you find sin C if the opposite side is 3 and the hypotenuse is 5?

Back

sin C = opposite/hypotenuse = 3/5.

Front

How do you find cos C if the adjacent side is 4 and the hypotenuse is 5?

Back

cos C = adjacent/hypotenuse = 4/5.

Front

How do you find tan A if the opposite side is 4 and the adjacent side is 3?

Back

tan A = opposite/adjacent = 4/3.

Front

What is the relationship between sin, cos, and tan?

Back

tan = sin/cos.

Front

If sin C = 3/5, what is cos C using the Pythagorean identity?

Back

cos^2 C + sin^2 C = 1; cos C = sqrt(1 - (3/5)^2) = 4/5.

Front

What is the value of tan C if sin C = 3/5 and cos C = 4/5?

Back

tan C = sin C / cos C = (3/5) / (4/5) = 3/4.

Front

What is the formula to calculate the hypotenuse using sin?

Back

hypotenuse = opposite / sin.