Trig Ratios(12/4-5/24)

Front

What is the definition of Tangent in trigonometry?

Back

Tangent (tan) is 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 Sine?

Back

Sine (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 formula for Cosine?

Back

Cosine (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 ratio for Sine?

Back

Opp/Hyp

Front

What is the ratio for Cosine?

Back

Adj/Hyp

Front

What is the ratio for Tangent?

Back

Opp/Adj

Front

If Sin Θ = 4/5, what is the length of the opposite side if the hypotenuse is 5?

Back

4 (since Sin Θ = Opp/Hyp => 4/5 = Opp/5 => Opp = 4).

Front

If Tan X = 30/40, what is the length of the adjacent side if the opposite side is 30?

Back

40 (since Tan X = Opp/Adj => 30/Adj = 30/40 => Adj = 40).

Front

What is the relationship between the three primary trigonometric ratios?

Back

The three primary trigonometric ratios (sine, cosine, tangent) are related through the right triangle and can be derived from each other.

Front

What is the Pythagorean identity involving sine and cosine?

Back

sin²(θ) + cos²(θ) = 1.