Trigonometric Ratios

Front

What is the definition of a hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

What is the formula for calculating the sine of an angle in a right triangle?

Back

Sine (sin) = Opposite side / Hypotenuse.

Front

What is the formula for calculating the cosine of an angle in a right triangle?

Back

Cosine (cos) = Adjacent side / Hypotenuse.

Front

What is the formula for calculating the tangent of an angle in a right triangle?

Back

Tangent (tan) = Opposite side / Adjacent side.

Front

In a right triangle, if one angle is 30 degrees, what is the ratio of the opposite side to the hypotenuse?

Back

The ratio is 1/2.

Front

What is the relationship between the sides of a 45-45-90 triangle?

Back

In a 45-45-90 triangle, the legs are equal, and the hypotenuse is √2 times the length of a leg.

Front

What is the Pythagorean theorem?

Back

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

Front

If the opposite side is 8 and the hypotenuse is 17, what is the sine of the angle?

Back

Sine = 8/17.

Front

If the adjacent side is 15 and the hypotenuse is 17, what is the cosine of the angle?

Back

Cosine = 15/17.

Front

What is the definition of the opposite side in a right triangle?

Back

The opposite side is the side opposite the angle being referenced.