Trig functions - Geometry

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 hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

How do you calculate cos(A) using a calculator?

Back

To calculate cos(A), input the angle A into the calculator and press the cosine function button.

Tags

CCSS.HSG.SRT.C.7

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 hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

How do you calculate sin(54.6) using a calculator?

Back

Input 54.6 into the calculator and press the sine function button, then round the result to the nearest hundredth.

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 adjacent side.

Tags

CCSS.HSG.SRT.C.6

Front

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

Back

The relationship is given by the equation: tan(A) = sin(A) / cos(A).

Tags

CCSS.HSG.SRT.C.7

Front

What is the Pythagorean identity involving sine and cosine?

Back

The Pythagorean identity states that sin²(A) + cos²(A) = 1 for any angle A.

Tags

CCSS.HSF.TF.C.8

Front

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

Back

Use the appropriate trigonometric ratio (sin, cos, or tan) based on the known angle and side lengths.

Tags

CCSS.HSG.SRT.C.8

Front

What is the value of cos(37) in a right triangle with hypotenuse 14?

Back

Using the cosine ratio, cos(37) = adjacent/hypotenuse, so adjacent = 14 * cos(37).

Tags

CCSS.HSG.SRT.C.6

Front

How do you round a decimal to the nearest ten-thousandth?

Back

Look at the fifth digit after the decimal point; if it's 5 or more, round up the fourth digit.

Tags

CCSS.5.NBT.A.4