4.0 Triangle Trigonometry Basics

Front

What is the sine function in relation to a right triangle?

Back

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

Tags

CCSS.HSG.SRT.C.6

Front

What is the cosine function in relation to a right triangle?

Back

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

Tags

CCSS.HSG.SRT.C.6

Front

What is the tangent function in relation to a right triangle?

Back

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

Tags

CCSS.HSG.SRT.C.6

Front

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

Back

To find the length of a side using sine, use the formula: side = hypotenuse * sin(angle).

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

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

Back

To find the length of a side using cosine, use the formula: side = hypotenuse * cos(angle).

Tags

CCSS.HSG.SRT.C.8

Front

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

Back

To find the length of a side using tangent, use the formula: side = adjacent * tan(angle).

Tags

CCSS.HSG.SRT.C.8

Front

What is the formula to find the angle using sine?

Back

To find the angle using sine, use the formula: angle = sin^(-1)(opposite/hypotenuse).

Tags

CCSS.HSG.SRT.C.8

Front

What is the formula to find the angle using cosine?

Back

To find the angle using cosine, use the formula: angle = cos^(-1)(adjacent/hypotenuse).

Tags

CCSS.HSG.SRT.C.8

Front

What is the formula to find the angle using tangent?

Back

To find the angle using tangent, use the formula: angle = tan^(-1)(opposite/adjacent).

Tags

CCSS.HSG.SRT.C.8

Front

If the hypotenuse is 30 and the angle is 39 degrees, how do you find the opposite side?

Back

Use the sine function: opposite = 30 * sin(39).

Tags

CCSS.HSG.SRT.C.8