Trig Functions

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 does SOH-CAH-TOA stand for?

Back

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

Tags

CCSS.HSG.SRT.C.6

Front

If sin(40°) = w/28, what is the value of w?

Back

w = 28 * sin(40°) ≈ 18.6.

Tags

CCSS.HSG.SRT.C.8

Front

If cos(37°) = x/14, what is the value of x?

Back

x = 14 * cos(37°) ≈ 11.3.

Tags

CCSS.HSG.SRT.C.8

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Tags

CCSS.8.G.B.8

Front

How do you find the length of a side in a right triangle using trigonometric ratios?

Back

Use the appropriate ratio (sin, cos, or tan) based on the known sides and angles.

Tags

CCSS.HSG.SRT.C.8

Front

What is the value of sin(90°)?

Back

sin(90°) = 1.

Tags

CCSS.HSG.SRT.C.7

Front

What is the value of cos(0°)?

Back

cos(0°) = 1.

Tags

CCSS.HSF.TF.A.2