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17-8 more identities. The addition formulas

17-8 more identities. The addition formulas. Theorem 17-7. The Addition Formula for the Cosine For all real numbers a and b, cos (a +b) = cos a cos b – sin a sin b. Theorem 17-8 For every real number 0, cos (0 + pie) = -cos 0. Theorem 17-9 Theorem 17-10

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17-8 more identities. The addition formulas

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  1. 17-8 more identities. The addition formulas

  2. Theorem 17-7. The Addition Formula for the Cosine • For all real numbers a and b, cos (a +b) = cos a cos b – sin a sin b. • Theorem 17-8 • For every real number 0, cos (0 + pie) = -cos 0

  3. Theorem 17-9 • Theorem 17-10 • For all real numbers a and b, sin (a +b) = sin a cos b + cos a sin b. • Theorem 17-11 • For every real number 0, sin (0 + pie) = -sin 0.

  4. Theorem 17-12 • For all real number a and b, cos (a – b) = cos a cos b + sin a sin b, and sin (a – b) = sin a cos b – cos a sin b. • Theorem 17-13 • For all real numbers a and b, tan (a + b) = tan a + tan b 1 - tan a tan b

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