Trigonometric Identities: Sum, Difference, and Product Formulas
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Questions and Answers

What is the result of adding equations (i) and (ii)?

  • sin(a+)+sin(a-)-2 cos a sin B
  • sin(a+)+sin(a-)-2 sin a cos B
  • sin(a+)-sin(a-)-2 cos a sin B
  • sin(a+)-sin(a-)-2 sin a cos B (correct)

What is the result of subtracting equation (i) from equation (iii)?

  • sin(a+)+sin(a-)-2 sin a cos
  • sin(a+)-sin(a-)-2 sin a cos
  • sin(a+)+sin(a-)-2 cos a sin
  • sin(a+)-sin(a-)-2 cos a sin (correct)

What is the result of adding equations (i) and (iv)?

  • cos(a+)-cos(a-)-2 sin a sin
  • cos(a+)-cos(a-)-2 cos a cos
  • cos(a+)+cos(a-)-2 sin a sin
  • cos(a+)+cos(a-)-2 cos a cos (correct)

What is the result of subtracting equation (iv) from equation (ii)?

<p>cos(a+)-cos(a-)-2 sin a sin (B)</p> Signup and view all the answers

What substitutions are made to simplify the identities?

<p>a+B=P and a-B=Q (B)</p> Signup and view all the answers

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