Trigonometry - Missing Angles

Front

What is Trigonometry?

Back

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

Tags

CCSS.HSG.CO.C.10

Front

What is the sine function?

Back

The sine function (sin) is a trigonometric function that relates the angle of a right triangle to 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?

Back

The cosine function (cos) relates the angle of a right triangle to 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?

Back

The tangent function (tan) relates the angle of a right triangle to 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 missing angle in a right triangle?

Back

To find a missing angle in a right triangle, you can use the sine, cosine, or tangent functions, depending on the known sides.

Tags

CCSS.HSG.SRT.C.8

Front

What is the sum of angles in a triangle?

Back

The sum of the interior angles in any triangle is always 180 degrees.

Tags

CCSS.8.G.A.5

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that 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.

Tags

CCSS.8.G.B.8

Front

If angle A is 30 degrees, what is the sine of angle A?

Back

sin(30°) = 0.5.

Tags

CCSS.HSG.SRT.C.7

Front

If angle B is 45 degrees, what is the cosine of angle B?

Back

cos(45°) = √2/2.

Tags

CCSS.HSG.SRT.C.7

Front

What is the relationship between complementary angles?

Back

Complementary angles are two angles whose sum is 90 degrees.

Tags

CCSS.7.G.B.5