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Understanding Law of Cosines Through Practice Problems

Lesson 7-7 explores problem-solving using the Law of Cosines. Learn to calculate angles and side lengths with trigonometric functions like sin, cos, and more. Practice with Worksheet #1, #3, #4, #5, and be prepared for Quiz 7-5/7-6 on Monday.

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Understanding Law of Cosines Through Practice Problems

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  1. I can solve problems using the Law of cosines Lesson 7-7

  2. 41° sin 64 sin 41 y = y 18 64° 18 y = 24.66

  3. j j2 = 152 + 272 – 2(15)(27) •cos 34 27 15 j2 = 282.4795662 34° j = 16.8

  4. n n2 = 1.32 + 102 – 2(1.3)(10) •cos 47 10 1.3 47° n2 = 83.95804264 n = 9.2

  5. 25 23 252 = 172 + 232 – 2(17)(23) • cos Q Q 625 = 818 – 782 • cos Q 17 -818 -818 -193 = – 782 • cos Q -782 -782 0.246803 =cos Q Q = 75.7ᵒ

  6. D d2 = b2 + c2 – 2bc • cos D 9 11 62 = 92 + 112 – 2(9)(11) • cos D 6 36 = 202 – 198 • cos D -202 -202 -166 = – 198 • cos D -198 -198 0.838383 =cos D D = 33ᵒ

  7. ASSIGNMENT 7-7 worksheet, #1, 3, 4, 5 Quiz 7-5/7-6 on Monday

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