Sine, Cosine, Tangent Flashcard

Front

What is the definition of sine 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 cosine 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 tangent 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

If sin(θ) = 0.5, what is the angle θ?

Back

θ = 30° or θ = 150°.

Front

If cos(θ) = 0.6, what is the angle θ?

Back

θ = 53.13° or θ = 306.87°.

Front

If tan(θ) = 1, what is the angle θ?

Back

θ = 45° or θ = 225°.

Front

What is the Pythagorean identity involving sine and cosine?

Back

sin²(θ) + cos²(θ) = 1.

Front

How do you find the length of a side using sine?

Back

Use the formula: sin(θ) = opposite/hypotenuse.

Front

How do you find the length of a side using cosine?

Back

Use the formula: cos(θ) = adjacent/hypotenuse.

Front

How do you find the length of a side using tangent?

Back

Use the formula: tan(θ) = opposite/adjacent.