Right Triangle Trig.

Front

What is 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): c² = a² + b².

Tags

CCSS.8.G.B.7

Front

What are the trigonometric ratios for a right triangle?

Back

The primary trigonometric ratios are sine (sin), cosine (cos), and tangent (tan). They are defined as follows: sin(θ) = opposite/hypotenuse, cos(θ) = adjacent/hypotenuse, tan(θ) = opposite/adjacent.

Tags

CCSS.HSG.SRT.C.6

Front

How do you find the length of the hypotenuse in 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 a leg.

Tags

CCSS.8.G.B.8

Front

What is the sine of a 30-degree angle?

Back

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

Tags

CCSS.HSG.SRT.C.6

Front

What is the cosine of a 60-degree angle?

Back

The cosine of a 60-degree angle is 1/2.

Tags

CCSS.HSG.SRT.C.7

Front

What is the tangent of a 45-degree angle?

Back

The tangent of a 45-degree angle is 1.

Tags

CCSS.HSG.SRT.C.6

Front

How do you calculate the angle using the inverse trigonometric functions?

Back

To find an angle, use the inverse functions: sin⁻¹(opposite/hypotenuse), cos⁻¹(adjacent/hypotenuse), tan⁻¹(opposite/adjacent).

Tags

CCSS.HSG.SRT.C.8

Front

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

Back

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

Tags

CCSS.8.G.A.5

Front

How do you solve for a missing side in a right triangle?

Back

Use the Pythagorean theorem or trigonometric ratios to find the missing side.

Tags

CCSS.8.G.B.7