Solve number 43 1/2cos(-8) = cosecos(28) = CUS U1+ costan(-0) = - tan 6= 2 cos?e - 1coscsc(-6) = – csce= 1- 2 sin? 0%3Dcos 8sec(-0) = sec 02 tan e%3Dtan(28)tan= ++ cos 61- tan? ecot(-6) = - cotePRODUCT TO SUM IDENTITIESSUM TO PRODUCT IDENTITIESsin a sin ß = [cos (a - B) - cos(a + B)]sin a + sin ß = 2 sina +BCoScos a cos ß =5 [cos (a - B) + cos(a +B)]sin a – sin B = 2 cosa +Bsin1sin a cos B = [sin(a +B) + sin(a - B)]a+ B%3Dcos a + cos B = 2 cosCoScos a sin ß =, (sin(a +B) – sin(a- B)]cos a - cos ß = -2 sin (")sin (",)a+BSUM/DIFFERENCES IDENTITIESMOLLWEIDE'S FORMULAsin (a ±B)= sin a cos B ±cosa sin Bcos(a – B)l In Exercises 31-50, use sum-to-product formulas to rewriteeach expression as a product. Simplify where possible.32. sin 22° + sin 8°In Eamp31. cos 40°- cos 20°65.34. cos 47° + cos 13°33. sin 32° sin 16°66.T+ cos3TT35. sin+ sin36. cos12In267.37. cos+ cos38. sin-sin68.39. cos 3x + cos 5x40. sin 5x sin 3x69.41. sin 7x + sin (-x)42. cos 7x cos 3x70.43. sin r + cos.x44. cos x- sin x45. sin 2x cos 2x46. cos 3x + sin 3x71-47. sin 3x + cos 5x48. sin 5.x cos.x49. a(sin x + cos x)50. a(sin bx + cos bx)72.h identity-12

Question

Solve number 43 1/2cos(-8) = cosecos(28) = CUS U1+ costan(-0) = - tan 6= 2 cos?e - 1coscsc(-6) = – csce= 1- 2 sin? 0%3Dcos 8sec(-0) = sec 02 tan e%3Dtan(28)tan= ++ cos 61- tan? ecot(-6) = - cotePRODUCT TO SUM IDENTITIESSUM TO PRODUCT IDENTITIESsin a sin ß = [cos (a - B) - cos(a + B)]sin a + sin ß = 2 sina +BCoScos a cos ß =5 [cos (a - B) + cos(a +B)]sin a – sin B = 2 cosa +Bsin1sin a cos B = [sin(a +B) + sin(a - B)]a+ B%3Dcos a + cos B = 2 cosCoScos a sin ß =, (sin(a +B) – sin(a- B)]cos a - cos ß = -2 sin (&#34;)sin (&#34;,)a+BSUM/DIFFERENCES IDENTITIESMOLLWEIDE'S FORMULAsin (a ±B)= sin a cos B ±cosa sin Bcos(a – B)l In Exercises 31-50, use sum-to-product formulas to rewriteeach expression as a product. Simplify where possible.32. sin 22° + sin 8°In Eamp31. cos 40°- cos 20°65.34. cos 47° + cos 13°33. sin 32° sin 16°66.T+ cos3TT35. sin+ sin36. cos12In267.37. cos+ cos38. sin-sin68.39. cos 3x + cos 5x40. sin 5x sin 3x69.41. sin 7x + sin (-x)42. cos 7x cos 3x70.43. sin r + cos.x44. cos x- sin x45. sin 2x cos 2x46. cos 3x + sin 3x71-47. sin 3x + cos 5x48. sin 5.x cos.x49. a(sin x + cos x)50. a(sin bx + cos bx)72.h identity-12

Accepted Answer

TRIGNOMETRY

43. sin.x + cos x