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Mathematics LibreTexts

9.4E: Sum-to-Product and Product-to-Sum Formulas (Exercises)

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For the following exercises, evaluate the product for the given expression using a sum or difference of two functions. Write the exact answer.

30. cos(π3)sin(π4)

31. 2sin(2π3)sin(5π6)

32. 2cos(π5)cos(π3)

For the following exercises, evaluate the sum by using a product formula. Write the exact answer.

33. sin(π12)sin(7π12)

34. cos(5π12)+cos(7π12)

For the following exercises, change the functions from a product to a sum or a sum to a product.

35. sin(9x)cos(3x)

36. cos(7x)cos(12x)

37. sin(11x)+sin(2x)

38. cos(6x)+cos(5x)


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