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Chapter 5

Chapter 5. 5-4 Using sum and difference formulas. Objectives. Use sum and difference formulas to evaluate trigonometric identities Verify trigonometric identities. Sum and Difference Formulas:. Using sum and difference formulas. Example #1 evaluating trigonometric functions.

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Chapter 5

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  1. Chapter 5 5-4 Using sum and difference formulas

  2. Objectives • Use sum and difference formulas to evaluate trigonometric identities • Verify trigonometric identities

  3. Sum and Difference Formulas: Using sum and difference formulas

  4. Example #1 evaluating trigonometric functions • Find the exact value of • A) cos 75 • B) • C)sin(15o

  5. EXAMPLE • What’s the exact value of tan 15° or tan(π/12)? 

  6. EXAMPLE#2 EVALUATING TRIGONOMETRIC FORMULAS • Given sin x = 1 / 5 and sin y = -2 / 3, angle x is in quadrant II and angle y is in quadrant III, find the exact value of sin(x + y).

  7. EXAMPLE • find the exact value of the trigonometric function given that • sinu=5 /13 and cosv= −3/ 5(Both u and v are in Quadrant II).

  8. Proving a cofunction Identity • Prove the cofunction identity = sin x.

  9. Example • Verify that

  10. Example • Simplify

  11. Worksheet • Let do the following worksheet as a project

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