Module 9 Lesson 5 - Trigonometry

Front

What is the definition of cosine in a right triangle?

Back

Cosine (cos) is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the inverse cosine function used for?

Back

The inverse cosine function, denoted as cos^-1, is used to find the angle whose cosine is a given value.

Front

What is the sine ratio in a right triangle?

Back

Sine (sin) is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

How do you set up a sine equation to solve for a side in a right triangle?

Back

Use the formula: sin(angle) = opposite/hypotenuse, and rearrange to find the unknown side.

Front

What is the relationship between angles and their sine and cosine values?

Back

The sine and cosine values of complementary angles (angles that add up to 90°) are equal, i.e., sin(θ) = cos(90° - θ).

Front

How do you calculate the sine of an angle using a calculator?

Back

Ensure the calculator is in the correct mode (degrees or radians), then input the angle and press the 'sin' button.

Front

What is the purpose of using trigonometric ratios in real-world applications?

Back

Trigonometric ratios are used to solve problems involving right triangles, such as finding heights, distances, and angles in various fields like engineering and physics.

Front

What is the formula for finding the length of a side using the sine ratio?

Back

The formula is: length of opposite side = hypotenuse * sin(angle).

Front

What is the formula for finding the length of a side using the cosine ratio?

Back

The formula is: length of adjacent side = hypotenuse * cos(angle).

Front

How do you find the missing angle in a right triangle using trigonometric ratios?

Back

Use the inverse trigonometric functions (sin^-1, cos^-1, tan^-1) to find the angle based on the known ratios.