# Use the addition formulas to derive the identities in Exercises 31–36.31. cos (x-pai/2)=sinx 32. cos (x + pai/2)=-sinx33. sin (x + pai/ 2 ) = cos x 34. sin (x - pai/ 2) = - -cos x 35. cos (A - B) = cos A cos B + sin A sin B   36. sin (A - B) = sin A cos B - cos A sin B

Question
Asked Jan 11, 2020
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Use the addition formulas to derive the identities in Exercises 31–36.

31. cos (x-pai/2)=sinx

32. cos (x + pai/2)=-sinx

33. sin (x + pai/ 2 ) = cos x

34. sin (x - pai/ 2) = - -cos x

35. cos (A - B) = cos A cos B + sin A sin B

36. sin (A - B) = sin A cos B - cos A sin B

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Step 2

Recall the addition formulas as follows.

Step 3

Exercis...

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