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.

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 does SOH-CAH-TOA stand for?

Back

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

Front

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

Back

w = 28 * sin(40°) ≈ 18.6.

Front

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

Back

x = 14 * cos(37°) ≈ 11.3.

Front

What is the Pythagorean theorem?

Back

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

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.

Front

What is the value of sin(90°)?

Back

sin(90°) = 1.

Front

What is the value of cos(0°)?

Back

cos(0°) = 1.