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5.4 Sum and Difference Formulas

5.4 Sum and Difference Formulas. *Use sum and difference formulas to: -evaluate trig functions -verify identities -solve trig equations. Sum and Difference Formulas. Evaluating a Trig Function. Find the exact value of cos75 0. Evaluating a Trig Functions.

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5.4 Sum and Difference Formulas

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  1. 5.4 Sum and Difference Formulas *Use sum and difference formulas to: -evaluate trig functions -verify identities -solve trig equations

  2. Sum and Difference Formulas

  3. Evaluating a Trig Function Find the exact value of cos750

  4. Evaluating a Trig Functions Find the exact value of sin p/12

  5. Evaluating a Trig Expression • Find the exact value of sin(u + v) given • sin u = 4/5 , where 0 < u < p/2 • cos v = -12/13 , where p/2 < v < p

  6. Evaluating a Trig Expression • Find the exact value of cos(u + v) given • cosu= -15/17 , where p < u < 3p/2 • sinv = 4/5 , where o < v < p/2

  7. Proving a Cofunction Identity • Prove the cofunction identity • cos(p/2 – x) = sinx

  8. Simplify cos(q – 3p/2) tan(q + 3p)

  9. Solving a Trig Equation sin(x+p/4) + sin(x – p/4) = -1 on the interval [0, 2p)

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