Choosing Trig Functions

Front

What is the sine function?

Back

The sine function (sin) is a trigonometric function that relates the angle of a right triangle to the ratio of the length of the opposite side to the length of the hypotenuse. It is defined as: sin(θ) = opposite/hypotenuse.

Front

What is the cosine function?

Back

The cosine function (cos) is a trigonometric function that relates the angle of a right triangle to the ratio of the length of the adjacent side to the length of the hypotenuse. It is defined as: cos(θ) = adjacent/hypotenuse.

Front

What is the tangent function?

Back

The tangent function (tan) is a trigonometric function that relates the angle of a right triangle to the ratio of the length of the opposite side to the length of the adjacent side. It is defined as: tan(θ) = opposite/adjacent.

Front

What is the relationship between sine and cosine?

Back

The sine and cosine functions are related through the Pythagorean identity: sin²(θ) + cos²(θ) = 1.

Front

When should you use the sine function?

Back

Use the sine function when you have the length of the opposite side and the hypotenuse of a right triangle.

Front

When should you use the cosine function?

Back

Use the cosine function when you have the length of the adjacent side and the hypotenuse of a right triangle.

Front

When should you use the tangent function?

Back

Use the tangent function when you have the length of the opposite side and the adjacent side of a right triangle.

Front

What is the formula for sin(θ)?

Back

Front

What is the formula for cos(θ)?

Back

Front

What is the formula for tan(θ)?

Back