IM2: Outcome 3 (All Components)

The sine ratio is defined as the ratio of the length of the opposite side to the length of the hypotenuse: $$\frac{opposite}{hypotenuse}$$ .

To find the unknown angle, use the inverse sine function: x = sin^–1(opposite/hypotenuse).

The hypotenuse is the longest side of a right triangle, opposite the right angle.

X = sin^–1( $$\frac{16}{34}$$ ).

The cosine ratio is defined as the ratio of the length of the adjacent side to the length of the hypotenuse: $$\frac{adjacent}{hypotenuse}$$ .

To find the unknown angle, use the inverse cosine function: x = cos^–1(adjacent/hypotenuse).

The tangent ratio is defined as the ratio of the length of the opposite side to the length of the adjacent side: $$\frac{opposite}{adjacent}$$ .

To find the unknown angle, use the inverse tangent function: x = tan^–1(opposite/adjacent).

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides: $$a^2 + b^2 = c^2$$ .

Using the Pythagorean theorem: $$c = \text{sqrt}(5^2 + 12^2) = 13$$ .