Trig Ratios

Front

What is the definition of the cosine ratio?

Back

The cosine ratio is defined as the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle.

Front

What is the definition of the sine ratio?

Back

The sine ratio is defined as the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle.

Front

What is the definition of the tangent ratio?

Back

The tangent ratio is defined as the ratio of the length of the opposite side to the length of the adjacent side in a right triangle.

Front

What is the formula for finding the hypotenuse using sine?

Back

Hypotenuse = Opposite / sin(angle) where 'angle' is the angle in question.

Front

What is the formula for finding the adjacent side using cosine?

Back

Adjacent = Hypotenuse * cos(angle) where 'angle' is the angle in question.

Front

What is the formula for finding the opposite side using tangent?

Back

Opposite = Adjacent * tan(angle) where 'angle' is the angle in question.

Front

How do you identify the opposite side in a right triangle?

Back

The opposite side is the side that is directly across from the angle in question.

Front

How do you identify the adjacent side in a right triangle?

Back

The adjacent side is the side that forms one of the angles with the hypotenuse, but is not the hypotenuse itself.

Front

What is the relationship between sine, cosine, and tangent?

Back

Tangent can be expressed as the ratio of sine to cosine: tan(angle) = sin(angle) / cos(angle).

Front

What is the Pythagorean theorem?

Back

In a right triangle, the Pythagorean theorem states that a² + b² = c², where c is the hypotenuse and a and b are the other two sides.