Intro to Trigonometry

Front

What is the Sine Ratio?

Back

The Sine Ratio 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 Cosine Ratio?

Back

The Cosine Ratio 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 Tangent Ratio?

Back

The Tangent Ratio is defined as the ratio of the length of the opposite side to the length of the adjacent side in a right triangle.

Front

How do you find the height of an object using trigonometry?

Back

To find the height, use the formula: height = distance from the object * tan(angle of elevation).

Front

What is the formula for finding the angle of elevation?

Back

The angle of elevation can be found using the formula: angle = tan^(-1)(opposite/adjacent).

Front

If the opposite side is 5 and the adjacent side is 12, what is the Tangent Ratio?

Back

Tangent Ratio = opposite/adjacent = 5/12.

Front

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

Back

The relationship is: tan(θ) = sin(θ)/cos(θ).

Front

In a right triangle, if one angle is 30 degrees, what is the sine of that angle?

Back

sin(30°) = 1/2.

Front

In a right triangle, if one angle is 60 degrees, what is the cosine of that angle?

Back

cos(60°) = 1/2.

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.