Trigonometry (Ratios and Missing Sides)

Front

What is the definition of sine in a right triangle?

Back

Sine 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 definition of cosine in a right triangle?

Back

Cosine 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 definition of tangent in a right triangle?

Back

Tangent 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 calculate the hypotenuse using the Pythagorean theorem?

Back

The hypotenuse can be calculated using the formula: c = √(a² + b²), where c is the hypotenuse and a and b are the lengths of the other two sides.

Tags

CCSS.8.G.B.8

Front

What is the relationship between the sides of a 30-60-90 triangle?

Back

In a 30-60-90 triangle, the lengths of the sides are in the ratio 1:√3:2.

Tags

CCSS.HSG.CO.C.10

Front

What is the relationship between the sides of a 45-45-90 triangle?

Back

In a 45-45-90 triangle, the lengths of the legs are equal, and the hypotenuse is √2 times the length of each leg.

Tags

CCSS.8.G.B.8

Front

What is the formula for finding the length of a side using sine?

Back

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

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

What is the formula for finding the length of a side using cosine?

Back

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

Tags

CCSS.HSG.SRT.C.8

Front

What is the formula for finding the length of a side using tangent?

Back

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

Tags

CCSS.HSG.SRT.C.8

Front

How do you find an angle using the sine ratio?

Back

To find an angle using the sine ratio, use the formula: angle = sin⁻¹(opposite/hypotenuse).

Tags

CCSS.HSG.SRT.C.8