Diagnostic - Right Triangles

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

How do you set up a cosine equation for a right triangle?

Back

For a right triangle with angle C, the cosine can be set up as cos(C) = adjacent/hypotenuse.

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 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

If cos(θ) = adjacent/hypotenuse, what is the formula to find the adjacent side?

Back

Adjacent = hypotenuse * cos(θ).

Front

If sin(θ) = opposite/hypotenuse, what is the formula to find the opposite side?

Back

Opposite = hypotenuse * sin(θ).

Front

If tan(θ) = opposite/adjacent, what is the formula to find the opposite side?

Back

Opposite = adjacent * tan(θ).

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Front

How do you find the length of a side in a right triangle using trigonometric ratios?

Back

Identify the known sides and angle, then use sin, cos, or tan to set up an equation.

Front

What is the value of cos(47) in a right triangle with hypotenuse 28?

Back

cos(47) = adjacent/28, where adjacent = 28 * cos(47).