Sine, Cosine, and Tangent Ratios

Front

What is the definition of the sine ratio?

Back

The sine ratio (sin) 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 cosine ratio?

Back

The cosine ratio (cos) 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 tangent ratio?

Back

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

Front

In a right triangle, if angle A is 30 degrees, what is sin A?

Back

sin(30°) = 1/2.

Front

In a right triangle, if angle A is 45 degrees, what is cos A?

Back

cos(45°) = √2/2.

Front

In a right triangle, if angle A is 60 degrees, what is tan A?

Back

tan(60°) = √3.

Front

Which side is opposite to angle A in a right triangle?

Back

The side that does not touch angle A.

Front

Which side is adjacent to angle A in a right triangle?

Back

The side that touches angle A but is not the hypotenuse.

Front

What is the Pythagorean theorem?

Back

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

Front

If the opposite side is 3 and the hypotenuse is 5, what is sin A?

Back

sin A = 3/5.