1. Right Triangle Trigonometry Three Basic Trig Ratios: sin θ = opposite/hypotenuse cos θ = adjacent/hypotenuse tan θ = opposite/adjacent Adjacent Side Hypotenuse Opposite side

2. Find the sine, cosine and tangent of angle A. Round your answers to the nearest ten thousandth. A 9 cm 4.5 cm 10.1 cm sin A = cos A = tan A = 4.5 / 10.1 ≈ 0.4455 9 / 10.1 ≈ 0.8911 4.5 / 9 ≈ 0.5000

3. Use a calculator to find the value of each trigonometric ratio to the nearest ten thousandth. Make sure your calculator is in degree mode. 1. sin 45° ≈ 2. cos 47° ≈ 3. tan 48° ≈ 0.7071 0.6820 1.1106

4. Use a calculator to find the measure of each angle to the nearest degree. *Remember to use the 2 nd button prior to typing the trig button. 1. sin A = 0.7547 2. tan A = 2.3456 3. cos B = 0.6947 4. sin A = 0.6589 5. tan C = 1.9832 6. cos B = 0.0136 1. A ≈ 49° 2. A ≈ 67° 3. B ≈ 46° 4. A ≈ 41° 5. C ≈ 63° 6. B ≈ 89°

5. Solve the triangle for all sides and angles. Round the sides to the nearest tenth and angles to nearest degree. A B C a = 30 b = 20 A = a = B = b = C = c = Mark what you are given 30 20 90° c = To find c, use Pythagorean Theorem: 30 2 + 20 2 = c 2 36.1 Next find A: tan A = 30/20 56° 34° Last find B: 180° – 90° – 56° =

6. Solve the triangle for all sides and angles. Round the sides to the nearest tenth and angles to nearest degree. A B C a = b = A = a = B = b = C = c = Mark what you are given 53° 90°50 c = 50 Find B: 180° – 90° – 53° = Next find a: sin 53° = a / 50 Last find b: cos 53° = b / 50 53° 37° 39.9 30.1

7. Solve the triangle for all sides and angles. Round the sides to the nearest tenth and angles to nearest degree. A B C a = 15 b = A = a = B = b = C = c = Mark what you are given 56°15 90° c = Find B: 180° – 90° – 56° = Next find b: tan 56° = 15 / b so, b = 15 / tan 56° Last find c: sin 56° = 15 / c so c = 15 / sin 56° 56° 34° 18.1 10.1

8. Reciprocal Functions Three Basic Trig Functions: sin θ cos θ tan θ Three Reciprocal Trig Functions: csc θ = hypotenuse/opposite sec θ = hypotenuse/adjacent cot θ = adjacent/opposite

9. β 3 4 Find all six trigonometric functions for angle β.