Lesson #5 Exit Ticket

Front

What is the process for rounding a number to the nearest tenths?

Back

To round a number to the nearest tenths, look at the digit in the hundredths place. If it is 5 or greater, round up the tenths place by one. If it is less than 5, keep the tenths place the same.

Front

What is the tangent function in trigonometry?

Back

The tangent function (tan) is defined as the ratio of the opposite side to the adjacent side in a right triangle. It can also be expressed as tan(X) = sin(X)/cos(X).

Front

How do you find the measure of an angle using the tangent function?

Back

To find the measure of an angle using the tangent function, use the inverse tangent function (tan^-1) on the ratio of the opposite side to the adjacent side.

Front

What is the formula for solving for x in a right triangle using tangent?

Back

The formula is tan(angle) = opposite/adjacent. Rearranging gives x = opposite/tan(angle).

Front

What is the significance of rounding in measurements?

Back

Rounding is significant in measurements to ensure precision and to make numbers easier to work with, especially in calculations and reporting.

Front

How do you solve for an unknown angle in a right triangle?

Back

To solve for an unknown angle, use trigonometric ratios (sine, cosine, tangent) and the inverse functions to find the angle based on known side lengths.

Front

What is the sine function in trigonometry?

Back

The sine function (sin) is defined as the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle.

Front

What is the cosine function in trigonometry?

Back

The cosine function (cos) is defined as the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle.

Front

What is the relationship between sine, cosine, and tangent?

Back

The relationship is given by the equation: tan(X) = sin(X)/cos(X). This shows how tangent is derived from sine and cosine.

Front

How do you determine the correct trigonometric function to use in a problem?

Back

Determine which sides of the triangle are known and which angle is being referenced. Use sine for opposite/hypotenuse, cosine for adjacent/hypotenuse, and tangent for opposite/adjacent.