Cosine Sine Rule Cosine Rule Considered Generalization Pythagorean Theorem Using Figure 2 Q43837497
Cosine and Sine Rule The cosine rule can be considered to be a generalization of the Pythagorean Theorem. Using the Figure 2: Triangle with notations notations from Fig. 2 the rule is: a = b2 + c2 – 2bc cos a • Use a symmetry argument to find two other expressions of this rule. • Prove the cosine rule. Hint: split the triangle into two right-angled ones; use the Pythagorean Theorem. While you’re at it, the sine rule is: sin a/a = sinß/b = sin y/c • Prove the sine rule. Show transcribed image text Cosine and Sine Rule The cosine rule can be considered to be a generalization of the Pythagorean Theorem. Using the Figure 2: Triangle with notations notations from Fig. 2 the rule is: a = b2 + c2 – 2bc cos a • Use a symmetry argument to find two other expressions of this rule. • Prove the cosine rule. Hint: split the triangle into two right-angled ones; use the Pythagorean Theorem. While you’re at it, the sine rule is: sin a/a = sinß/b = sin y/c • Prove the sine rule.
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Answer to Cosine and Sine Rule The cosine rule can be considered to be a generalization of the Pythagorean Theorem. Using the Figu…
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