Trig

Front

What is the definition of Sine in a right triangle?

Back

Sine (sin) 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 (cos) 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 (tan) is the ratio of the length of the opposite side to the length of the adjacent side.

Tags

CCSS.HSG.SRT.C.6

Front

What is the Pythagorean theorem?

Back

In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides: a² + b² = c².

Tags

CCSS.8.G.B.8

Front

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

Back

To find the length of a side using sine, use the formula: sin(θ) = Opposite/Hypotenuse.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

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

Back

To find the length of a side using cosine, use the formula: cos(θ) = Adjacent/Hypotenuse.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

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

Back

To find the length of a side using tangent, use the formula: tan(θ) = Opposite/Adjacent.

Tags

CCSS.HSG.SRT.C.8

Front

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

Back

The angles in a right triangle determine the ratios of the lengths of the sides.

Tags

CCSS.HSG.CO.C.10

Front

If sin(30°) = 0.5, what is the ratio of the opposite side to the hypotenuse?

Back

The ratio of the opposite side to the hypotenuse is 1:2.

Tags

CCSS.HSG.SRT.C.6

Front

If tan(45°) = 1, what does this imply about the opposite and adjacent sides?

Back

This implies that the lengths of the opposite and adjacent sides are equal.

Tags

CCSS.HSG.SRT.C.6