Trig - Find Missing Sides

Front

What is the primary purpose of trigonometry in relation to triangles?

Back

To relate the angles and sides of triangles, particularly right triangles.

Tags

CCSS.HSG.SRT.C.7

Front

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

Back

The sine function is 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 is 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 is 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 find the length of a missing side using the sine function?

Back

Use the formula: sin(angle) = opposite/hypotenuse, and rearrange to find the opposite side.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

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

Back

Use the formula: cos(angle) = adjacent/hypotenuse, and rearrange to find the adjacent side.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

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

Back

Use the formula: tan(angle) = opposite/adjacent, and rearrange to find the opposite or adjacent side.

Tags

CCSS.HSG.SRT.C.8

Front

What is the relationship between the angles and sides in a right triangle?

Back

The sum of the angles in a triangle is always 180 degrees, and in a right triangle, one angle is 90 degrees.

Tags

CCSS.HSG.CO.C.10

Front

What is the formula to find the hypotenuse using the Pythagorean theorem?

Back

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

Tags

CCSS.8.G.B.8

Front

What is the significance of the angle in trigonometric functions?

Back

The angle determines the ratios of the sides in relation to the functions sine, cosine, and tangent.

Tags

CCSS.HSG.SRT.C.6