Trig Ratio Review

A trigonometric ratio is a ratio of the lengths of two sides of a right triangle. The primary trigonometric ratios are sine, cosine, and tangent.

The sine of angle A (SinA) is defined as the ratio of the length of the opposite side to the length of the hypotenuse: $$\text{SinA} = \frac{\text{Opposite}}{\text{Hypotenuse}}$$ .

The cosine of angle A (CosA) is defined as the ratio of the length of the adjacent side to the length of the hypotenuse: $$\text{CosA} = \frac{\text{Adjacent}}{\text{Hypotenuse}}$$ .

The tangent of angle A (TanA) is defined as the ratio of the length of the opposite side to the length of the adjacent side: $$\text{TanA} = \frac{\text{Opposite}}{\text{Adjacent}}$$ .

You can use the inverse trigonometric functions (arcsin, arccos, arctan) to find the missing angle based on the known side lengths.

In a right triangle, the sum of the two non-right angles is always 90 degrees.

Angle A is 30 degrees.

Angle B is approximately 53.1 degrees.

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): $$c^2 = a^2 + b^2$$ .

To convert degrees to radians, multiply by $$\frac{\text{π}}{180}$$ .