Trigonometry- Right Angle Triangles

Front

What is the Sine Ratio in a right triangle?

Back

The Sine Ratio is defined as the ratio of the length of the opposite side to the length of the hypotenuse. Formula: Sine(θ) = Opposite/Hypotenuse.

Front

What is the Tangent Ratio in a right triangle?

Back

The Tangent Ratio is defined as the ratio of the length of the opposite side to the length of the adjacent side. Formula: Tangent(θ) = Opposite/Adjacent.

Front

What is the Cosine Ratio in a right triangle?

Back

The Cosine Ratio is defined as the ratio of the length of the adjacent side to the length of the hypotenuse. Formula: Cosine(θ) = Adjacent/Hypotenuse.

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

What type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem ONLY applies to right triangles.

Front

How do you find the length of the hypotenuse using the Pythagorean Theorem?

Back

To find the hypotenuse (c), use the formula: c = √(a² + b²), where a and b are the lengths of the other two sides.

Front

If the opposite side is 7 and the hypotenuse is 25, what is the Sine of the angle?

Back

Sine(θ) = Opposite/Hypotenuse = 7/25.

Front

If the adjacent side is 24 and the hypotenuse is 25, what is the Cosine of the angle?

Back

Cosine(θ) = Adjacent/Hypotenuse = 24/25.

Front

If the opposite side is 7 and the adjacent side is 24, what is the Tangent of the angle?

Back

Tangent(θ) = Opposite/Adjacent = 7/24.

Front

What is the relationship between the three sides of a right triangle?

Back

In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides (Pythagorean Theorem).