Right Triangle Trig

Front

What is the definition of a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Tags

CCSS.4.G.A.2

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².

Tags

CCSS.8.G.B.7

Front

What is the sine function in a right triangle?

Back

The sine of an angle (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 cosine function in a right triangle?

Back

The cosine of an angle (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 tangent function in a right triangle?

Back

The tangent of an angle (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

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

Back

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

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

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

Back

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

Tags

CCSS.HSG.SRT.C.8

Front

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

Back

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

Tags

CCSS.HSG.SRT.C.8

Front

What is the relationship between sine and cosine for complementary angles?

Back

For complementary angles, sin(θ) = cos(90° - θ) and cos(θ) = sin(90° - θ).

Tags

CCSS.HSG.SRT.C.7

Front

What is the sine ratio for a 30-degree angle?

Back

The sine ratio for a 30-degree angle is 1/2.

Tags

CCSS.HSG.SRT.C.6