SAT Math Right Triangles Trigonometry-(3E,3M,4H)Questions

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). Formula: a² + b² = c².

Front

Define sine in the context of a right triangle.

Back

Sine (sin) of an angle in a right triangle is the ratio of the length of the opposite side to the length of the hypotenuse. Formula: sin(θ) = opposite/hypotenuse.

Front

Define cosine in the context of a right triangle.

Back

Cosine (cos) of an angle in a right triangle is the ratio of the length of the adjacent side to the length of the hypotenuse. Formula: cos(θ) = adjacent/hypotenuse.

Front

Define tangent in the context of a right triangle.

Back

Tangent (tan) of an angle in a right triangle is the ratio of the length of the opposite side to the length of the adjacent side. Formula: tan(θ) = opposite/adjacent.

Front

What is the relationship between sine and cosine?

Back

Sine and cosine are complementary functions. For any angle θ, sin(θ) = cos(90° - θ) and cos(θ) = sin(90° - θ).

Front

How do you find the length of a side in a right triangle using trigonometric ratios?

Back

To find a side, use the appropriate trigonometric ratio (sine, cosine, or tangent) based on the known angle and the side you need to find.

Front

What is the sine of a 30-degree angle?

Back

The sine of a 30-degree angle is 0.5.

Front

What is the cosine of a 60-degree angle?

Back

The cosine of a 60-degree angle is 0.5.

Front

What is the tangent of a 45-degree angle?

Back

The tangent of a 45-degree angle is 1.

Front

How do you calculate the height of a right triangle using trigonometry?

Back

To calculate the height, use the formula: height = hypotenuse × sin(angle).