Identify Trig Ratios

Front

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

Back

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

Front

What is the definition of sine (sin) 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 definition of tangent (tan) 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 formula to find the hypotenuse using Pythagorean theorem?

Back

The hypotenuse can be found using the formula: c = √(a² + b²), where c is the hypotenuse and a and b are the other two sides.

Front

If the adjacent side is 24 and the hypotenuse is 25, what is cos X?

Back

cos X = Adj/Hyp = 24/25.

Front

If the opposite side is 30 and the hypotenuse is 50, what is sin A?

Back

sin A = Opp/Hyp = 30/50 = 3/5.

Front

If the opposite side is 16 and the adjacent side is 24, what is tan X?

Back

tan X = Opp/Adj = 16/24 = 2/3.

Front

What is the length of the side opposite ∠A if the hypotenuse is 50 and sin A = 0.6?

Back

Opposite side = Hypotenuse * sin A = 50 * 0.6 = 30.

Front

What is the length of the side adjacent to ∠X if the opposite side is 16 and tan X = 0.67?

Back

Adjacent side = Opposite side / tan X = 16 / 0.67 ≈ 24.

Front

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

Back

tan θ = sin θ / cos θ.