Ch 6 Trig and the Unit Circle (Math 3)

Coterminal angles are angles that share the same terminal side when drawn in standard position. To find a coterminal angle, you can add or subtract multiples of 360 degrees (or 2π radians).

350 degrees.

270 degrees.

-\sqrt{2}/2.

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

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

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

Use the formula: $$a^2 + b^2 = c^2$$ , where c is the hypotenuse and a and b are the other two sides.

Using the Pythagorean theorem, the missing side is $$\sqrt{13^2 - 5^2} = \sqrt{169 - 25} = \sqrt{144} = 12$$ .

The reference angle is 180 degrees - 135 degrees = 45 degrees.