Right Triangle Trig

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 is the sine ratio 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 cosine ratio in a right triangle?

Back

Cosine (cos) is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

How do you calculate the tangent of an angle?

Back

Tangent of an angle = Opposite side / Adjacent side.

Front

What is the Pythagorean theorem?

Back

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

Front

If sinA = 4/5, what is the length of the opposite side if the hypotenuse is 20?

Back

Opposite side = sinA * Hypotenuse = (4/5) * 20 = 16.

Front

What is the value of tan(42°) rounded to the nearest ten-thousandth?

Back

0.9004.

Front

If cos(37°) = x/14, how do you solve for x?

Back

x = 14 * cos(37°).

Front

What is the relationship between the angles and sides in a right triangle?

Back

The ratios of the lengths of the sides are constant for given angles.

Front

How do you find the length of a side using sine?

Back

Length of opposite side = sin(angle) * hypotenuse.