Trigonometry

Front

What is Trigonometry?

Back

Trigonometry is a branch of mathematics that studies the relationships between the angles and sides of triangles, particularly right triangles.

Front

What is the sine function?

Back

The sine function (sin) is a trigonometric function defined as the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle.

Tags

CCSS.HSG.SRT.C.6

Front

What is the cosine function?

Back

The cosine function (cos) is a trigonometric function defined as the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle.

Tags

CCSS.HSG.SRT.C.6

Front

What is the tangent function?

Back

The tangent function (tan) is a trigonometric function defined as the ratio of the length of the opposite side to the length of the adjacent side in a right triangle.

Tags

CCSS.HSG.SRT.C.6

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

How do you find the missing angle in a triangle?

Back

To find a missing angle in a triangle, use the fact that the sum of all angles in a triangle is 180 degrees. If two angles are known, subtract their sum from 180 degrees.

Tags

CCSS.8.G.A.5

Front

What is the relationship between sine, cosine, and tangent?

Back

The relationship can be expressed as: tan(θ) = sin(θ) / cos(θ).

Tags

CCSS.HSG.SRT.C.7

Front

What is the sine rule?

Back

The sine rule states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is constant: a/sin(A) = b/sin(B) = c/sin(C).

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

What is the cosine rule?

Back

The cosine rule relates the lengths of the sides of a triangle to the cosine of one of its angles: c² = a² + b² - 2ab*cos(C).

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

How do you calculate the length of a side using trigonometric ratios?

Back

To calculate the length of a side, use the appropriate trigonometric ratio (sin, cos, or tan) based on the known angles and sides.

Tags

CCSS.HSG.SRT.C.8