Trig ratios

Front

What is the definition of sine in a right triangle?

Back

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

Front

What is the definition of cosine in a right triangle?

Back

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

Front

What is the definition of tangent in a right triangle?

Back

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

Front

What is the formula for finding sine?

Back

sin(A) = opposite/hypotenuse.

Front

What is the formula for finding cosine?

Back

cos(A) = adjacent/hypotenuse.

Front

What is the formula for finding tangent?

Back

tan(A) = opposite/adjacent.

Front

If the hypotenuse is 14 and the angle is 37 degrees, what is the cosine of 37 degrees?

Back

cos(37) = adjacent/14, where adjacent = 14 * cos(37) ≈ 10.5.

Front

If the opposite side is 10 and the hypotenuse is 14, what is the sine of the angle?

Back

sin(A) = opposite/hypotenuse = 10/14 ≈ 0.7143.

Front

If the adjacent side is 12 and the opposite side is 5, what is the tangent of the angle?

Back

tan(A) = opposite/adjacent = 5/12 ≈ 0.4167.

Front

What trig function would you use if you know the hypotenuse and the opposite side?

Back

You would use sine.