Finding a Missing Side - Inverse Operations

Front

What is the definition of inverse operations in mathematics?

Back

Inverse operations are pairs of operations that undo each other. For example, addition and subtraction are inverse operations, as are multiplication and division.

Front

How do you find a 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. Subtract the sum of the known angles from 180 degrees.

Front

What is the sine function in relation to a right triangle?

Back

In a right triangle, the sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the cosine function in relation to a right triangle?

Back

In a right triangle, the cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the tangent function in relation to a right triangle?

Back

In a right triangle, the tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

Front

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

Back

The relationship is given by the equation: tan(x) = sin(x) / cos(x). This means tangent can be expressed in terms of sine and cosine.

Front

What does sin^-1(x) represent?

Back

sin^-1(x), also known as arcsin, represents the angle whose sine is x.

Front

What does cos^-1(x) represent?

Back

cos^-1(x), also known as arccos, represents the angle whose cosine is x.

Front

What does tan^-1(x) represent?

Back

tan^-1(x), also known as arctan, represents the angle whose tangent is x.

Front

How do you solve for a missing angle using trigonometric ratios?

Back

To solve for a missing angle, use the appropriate trigonometric ratio (sine, cosine, or tangent) and apply the inverse function to find the angle.