Trig Ratios

Front

What is the definition of sine (sin) in a right triangle?

Back

In a right triangle, sine (sin) of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse.

Front

What is the definition of cosine (cos) in a right triangle?

Back

In a right triangle, cosine (cos) of an angle is defined as the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the definition of tangent (tan) in a right triangle?

Back

In a right triangle, tangent (tan) of an angle is defined as the ratio of the length of the opposite side to the length of the adjacent side.

Front

What is the relationship between sine and cosine?

Back

Sine and cosine are related through the Pythagorean identity: sin²(θ) + cos²(θ) = 1.

Front

What is the formula to find the hypotenuse using sine?

Back

Hypotenuse = opposite side / sin(angle).

Front

What is the formula to find the adjacent side using cosine?

Back

Adjacent side = hypotenuse * cos(angle).

Front

What is the formula to find the opposite side using tangent?

Back

Opposite side = adjacent side * tan(angle).

Front

What is the opposite side to angle A in a right triangle?

Back

The opposite side to angle A is the side that does not touch angle A.

Front

What is the adjacent side to angle A in a right triangle?

Back

The adjacent side to angle A is the side that touches angle A and is not the hypotenuse.

Front

How do you determine which trig function to use when given two sides of a triangle?

Back

Use sine if you have the opposite side and hypotenuse, cosine if you have the adjacent side and hypotenuse, and tangent if you have the opposite and adjacent sides.