Trig Ratio Practice

Front

What is the definition of the cosine function in a right triangle?

Back

The cosine function is the ratio of the length of the adjacent side to the length of the hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

What does SOH CAH TOA stand for?

Back

SOH: Sine = Opposite/Hypotenuse, CAH: Cosine = Adjacent/Hypotenuse, TOA: Tangent = Opposite/Adjacent.

Tags

CCSS.HSG.SRT.C.8

Front

If the hypotenuse is 10 and the adjacent side is 6, what is the cosine of the angle?

Back

cos(θ) = Adjacent/Hypotenuse = 6/10 = 0.6.

Tags

CCSS.HSG.SRT.C.6

Front

How do you find the missing angle using inverse trigonometric functions?

Back

Use the inverse function: θ = sin^-1(opposite/hypotenuse), cos^-1(adjacent/hypotenuse), or tan^-1(opposite/adjacent).

Tags

CCSS.HSG.SRT.C.8

Front

What is the sine function in a right triangle?

Back

The sine function 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 function in a right triangle?

Back

The tangent function 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 you know the opposite side is 5 and the hypotenuse is 13, how do you find the sine of the angle?

Back

sin(θ) = Opposite/Hypotenuse = 5/13.

Tags

CCSS.HSG.SRT.C.6

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

What is the value of cos^-1(0.5)?

Back

cos^-1(0.5) = 60°.

Tags

CCSS.HSF.TF.B.7

Front

How can you remember the trigonometric ratios?

Back

Use the mnemonic SOH CAH TOA.

Tags

CCSS.HSG.SRT.C.6