Flashcard No. 7.1-7.2 in Geometry (Trigonometric Ratios )

Front

What is the definition of a trigonometric ratio?

Back

A trigonometric ratio is a ratio of the lengths of two sides of a right triangle. The primary trigonometric ratios are sine, cosine, and tangent.

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 measure of an angle using trigonometric ratios?

Back

You can find the measure of an angle by using the inverse trigonometric functions: sin⁻¹, cos⁻¹, or tan⁻¹, depending on the sides you have.

Front

If the opposite side is 3 and the hypotenuse is 5, what is the sine of the angle?

Back

Sine = Opposite/Hypotenuse = 3/5 = 0.6.

Front

If the adjacent side is 4 and the hypotenuse is 5, what is the cosine of the angle?

Back

Cosine = Adjacent/Hypotenuse = 4/5 = 0.8.

Front

If the opposite side is 3 and the adjacent side is 4, what is the tangent of the angle?

Back

Tangent = Opposite/Adjacent = 3/4 = 0.75.

Front

What is the relationship between the sine and cosine of complementary angles?

Back

The sine of an angle is equal to the cosine of its complementary angle: sin(θ) = cos(90° - θ).

Front

How do you set up an equation to solve for a variable using trigonometric ratios?

Back

Identify the known sides and the angle, then use the appropriate trigonometric ratio to set up the equation.