IB Mathematics SL Prep

Category - IB Mathematics

Which of the following is a Double Angle Identity formula?

  1. Sin 2x = 2 sin xcosx
  2. Sin (x + y) = sin xcosy - cosx sin y
  3. Sin xcosy = ½ [sin(x + y) + sin (x - y)
  4. All of the above
Explanation

Answer: A - Sin 2x = 2 sin xcosx is a Double Angle Identity formula.

Double Angle formulas are useful when integrating rational functions of sine and cosine.

Sin (x + y) = sin xcosy - cosx sin y is a Sum and Difference Identity formula

Sin xcosy = ½ [sin(x + y) + sin (x - y) is a Product-Sum Identity formula

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