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 height of a lighthouse using trigonometry?

Back

Use the formula: height = distance from base * tan(angle of elevation).

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).

Tags

CCSS.HSG.SRT.C.7

Front

What is the formula to find the length of a side in a right triangle using sine?

Back

If you know the angle and the hypotenuse, you can find the opposite side using: opposite = hypotenuse * sin(angle).

Tags

CCSS.HSG.SRT.C.8

Front

What is the formula to find the length of a side in a right triangle using cosine?

Back

If you know the angle and the hypotenuse, you can find the adjacent side using: adjacent = hypotenuse * cos(angle).

Tags

CCSS.HSG.SRT.C.8

Front

What is the formula to find the length of a side in a right triangle using tangent?

Back

If you know the angle and the adjacent side, you can find the opposite side using: opposite = adjacent * tan(angle).

Tags

CCSS.HSG.SRT.C.8