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.

Tags

CCSS.HSG.SRT.C.6

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.

Tags

CCSS.HSG.SRT.C.6

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.

Tags

CCSS.HSG.SRT.C.6

Front

What is the formula for finding sine?

Back

sin(A) = opposite/hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

What is the formula for finding cosine?

Back

cos(A) = adjacent/hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

What is the formula for finding tangent?

Back

tan(A) = opposite/adjacent.

Tags

CCSS.HSG.SRT.C.8

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.

Tags

CCSS.HSG.SRT.C.6

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.

Tags

CCSS.HSG.SRT.C.6

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.

Tags

CCSS.HSG.SRT.C.6

Front

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

Back

You would use sine.

Tags

CCSS.HSG.SRT.C.6