Trig Ratios

Front

What are the three primary trigonometric ratios?

Back

Sine (sin), Cosine (cos), and Tangent (tan).

Front

How do you define the sine of an angle in a right triangle?

Back

Sine is defined as the ratio of the length of the opposite side to the length of the hypotenuse.

Front

How do you define the cosine of an angle in a right triangle?

Back

Cosine is defined as the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

How do you define the tangent of an angle in a right triangle?

Back

Tangent is defined as the ratio of the length of the opposite side to the length of the adjacent side.

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 complement: sin(θ) = cos(90° - θ).

Front

What is the Pythagorean identity involving sine and cosine?

Back

sin²(θ) + cos²(θ) = 1.

Front

What is the purpose of using a calculator in trigonometry?

Back

To compute trigonometric functions and solve for unknown sides or angles in triangles.

Front

In which mode should a calculator be set when solving trigonometric problems involving degrees?

Back

Degree mode.

Front

What is the formula to find the length of a side using the sine function?

Back

Opposite side = Hypotenuse × sin(θ).

Front

What is the formula to find the length of a side using the cosine function?

Back

Adjacent side = Hypotenuse × cos(θ).