Trig Ratios

Front

What is the definition of cosine in a right triangle?

Back

Cosine is the ratio of the length of the adjacent side to the length of the hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

What mnemonic helps remember the trigonometric ratios?

Back

Soh Cah Toa.

Tags

CCSS.HSG.SRT.C.8

Front

If the hypotenuse is 14 and the adjacent side is x, which trig function is used to find x if the angle is 37 degrees?

Back

cos(37) = x/14.

Tags

CCSS.HSG.SRT.C.6

Front

What is the sine ratio for an angle in a right triangle?

Back

Sine 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 tangent ratio for an angle in a right triangle?

Back

Tangent is the ratio of the length of the opposite side to the length of the adjacent side.

Tags

CCSS.HSG.SRT.C.6

Front

If sin(X) = 0.5, what is the angle X?

Back

X = 30 degrees.

Tags

CCSS.HSG.SRT.C.7

Front

What is the relationship between sine and cosine for complementary angles?

Back

sin(θ) = cos(90° - θ).

Tags

CCSS.HSG.SRT.C.7

Front

How do you find the opposite side if you know the hypotenuse and the angle?

Back

Use the sine function: Opposite = Hypotenuse * sin(angle).

Tags

CCSS.HSG.SRT.C.8

Front

What is the cosine of angle P if the adjacent side is q and the hypotenuse is r?

Back

cos(P) = q/r.

Tags

CCSS.HSG.SRT.C.6

Front

What is the tangent of angle P if the opposite side is p and the adjacent side is q?

Back

tan(P) = p/q.

Tags

CCSS.HSG.SRT.C.6