Finding missing sides using trig

Front

What is the sine function in a right triangle?

Back

The sine function (sin) is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the cosine function in a right triangle?

Back

The cosine function (cos) is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the tangent function in a right triangle?

Back

The tangent function (tan) is the ratio of the length of the opposite side to the length of the adjacent side.

Front

How do you find the length of a side using sine?

Back

Use the formula: Sin(θ) = opposite/hypotenuse, rearranged to find opposite: opposite = hypotenuse * Sin(θ).

Front

How do you find the length of a side using cosine?

Back

Use the formula: Cos(θ) = adjacent/hypotenuse, rearranged to find adjacent: adjacent = hypotenuse * Cos(θ).

Front

How do you find the length of a side using tangent?

Back

Use the formula: Tan(θ) = opposite/adjacent, rearranged to find opposite: opposite = adjacent * Tan(θ).

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse and a and b are the other two sides.

Front

What is the relationship between sine and cosine?

Back

Sine and cosine are co-functions: Sin(θ) = Cos(90° - θ) and Cos(θ) = Sin(90° - θ).

Front

How do you round a number to the nearest tenth?

Back

Look at the hundredths place; if it's 5 or more, round up the tenths place by one.

Front

What is the formula to find the hypotenuse using sine?

Back

Hypotenuse = opposite / Sin(θ).