Math Models Unit 9 Lesson 4
16. Select all that apply. Find the lengths of the sides of a right triangle when sin A = 0.25
• 1 • √15 • 4
18. Select all that apply. Find the lengths of the sides of a right triangle when tan B = 2.4
• 12 • 5 • 13
17. Select all that apply. Find the lengths of the sides of a right triangle when cos B = 0.8
• 5 • 4 • 3
13. Given two trig ratios, find the third. sin = ⁴⁰/₄₁ cos = ⁹/₄₁ tan = _____
⁴⁰/₉
5. Use the calculator to find the value to four decimal places. sine10° :
0.1736
9. Use the calculator to find the value to four decimal places. tan (π/₆) :
0.5773
6. Use the calculator to find the value to four decimal places. cos (π/₆) :
0.8660
8. Use the calculator to find the value to four decimal places. sin60° :
0.8660
7. Use the calculator to find the value to four decimal places. tan75° :
3.7320
2. Choose the correct definition. cosine :
In a right triangle, the ratio of the length of the leg adjacent to an acute angle to the length of the hypotenuse
1. Choose the correct definition. sine :
In a right triangle, the ratio of the length of the leg opposite an acute angle to the length of the hypotenuse
3. Choose the correct definition. tangent :
in a right triangle, the ratio of the length of the leg opposite an acute angle to the length of the leg adjacent to the acute angle
19. The hypotenuse is the longest side in a right triangle, _____ the right angle.
opposite
20. A right triangle is a triangle in which _____ angle is a right angle.
the largest
4. Choose the correct definition. complementary :
two angles, the sum of whose measures is 90 degrees
14. Given two trig ratios, find the third. sin = ²⁰/₂₉ tan = ²⁰/₂₁ cos = _____
²¹/₂₉
11. Given two trig ratios, find the third. sin = ⁵/₁₃ tan = ⁵/₁₂ cos = _____
¹²/₁₃
15. Given two trig ratios, find the third. tan = ¹¹/₆₀ cos = ⁶⁰/₆₁ sin = _____
¹¹/₆₁
12. Given two trig ratios, find the third. tan = ¹⁵/₈ cos = ⁸/₁₇ sin = _____
¹⁵/₁₇
10. Given two trig ratios, find the third. sin = ⅗ cos = ⅘ tan = _____
¾
