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Home > PC > Chapter 9 > Lesson 9.3.3 > Problem 9-134

9-134.
  1. Tool Kit icon These expressions look complicated, but they are not if you know your trigonometric identities. Review the addition/subtraction formulas, double-angle formulas, and half-angle formulas in your Tool Kit. Then express each of the problems below in the form sin x or cos x. Homework Help ✎

    1. sin 50°cos 20° + cos 50°sin 20°

    2. cos110°cos50°− sin110°sin50°

Look in the index and/or glossary for these formulas.

Use the addition formula for sine.
sin(50° + 20°)

Use the sum/difference formula for the cosine. Be careful of your sign.

Use the Half-Angle Formula for cosine.

Use the Double-Angle Formula for the sine.

Use one of the Double-Angle Formulas for the cosine.

Use the Half-Angle Formula for sine.