Problem 1TI: Use the product-to-sum formula to write the product as a sum or difference: cos(2)cos(4) . Problem 2TI: Use the product-to-sum formula to write the product as a sum: sin(x+y)cos(xy) . Problem 3TI: Use the product to-sum formula to evaluate cos1112cos12 . Problem 4TI: Use the sum-to-product formula to write the sum as a product: sin(3)+sin() . Problem 5TI: Verify the identity tancotcos2=sin2 . Problem 1SE: Starting with the product to sum formula sincos=12[sin(+)+sin()] , explain how to determine the... Problem 2SE: Provide two different methods of calculating cos(195)cos(105) , one of which uses the product to... Problem 3SE: Describe a situation where we would convert an equation from a sum to a product and give an example. Problem 4SE: Describe a situation where we would convert an equation from a product to a sum, and give an... Problem 5SE: For the following exercises, rewrite the product as a sum or difference. 5. 16sin(16x)sin(11x) Problem 6SE: For the following exercises, rewrite the product as a sum or difference. 6. 20cos(36t)cos(6t) Problem 7SE: For the following exercises, rewrite the product as a sum or difference. 7. 2sin(5x)cos(3x) Problem 8SE: For the following exercises, rewrite the product as a sum or difference 8. 10cos(5x)sin(10x) Problem 9SE: For the following exercises, rewrite the product as a sum or difference. 9. sin(x)sin(5x) Problem 10SE: For the following exercises, rewrite the product as a sum or difference. 10. sin(3x)cos(5x) Problem 11SE: For the following exercises, rewrite the sum or difference as a product. 11. cos(6t)+cos(4t) Problem 12SE: For the following exercises, rewrite the sum or difference as a product. 12. sin(3x)+sin(7x) Problem 13SE: For the following exercises, rewrite the sum or difference as a product 13. cos(7x)+cos(7x) Problem 14SE: For the following exercises, rewrite the sum or difference as a product. 14. sin(3x)sin(3x) Problem 15SE: For the following exercises, rewrite the sum or difference as a product. 15. cos(3x)+cos(9x) Problem 16SE: For the following exercises, rewrite the sum or difference as a product 16. sinhsin(3h) Problem 17SE: For the following exercises, evaluate the product using a sum or difference of two functions.... Problem 18SE: For the following exercises, evaluate the product using a sum or difference of two functions.... Problem 19SE: For the following exercises, evaluate the product using a sum or difference of two functions.... Problem 20SE: For the following exercises, evaluate the product using a sum or difference of two functions.... Problem 21SE: For the following exercises, evaluate the product using a sum or difference of two functions.... Problem 22SE: For the following exercises, evaluate the product using a sum or difference of two functions. Leave... Problem 23SE: For the following exercises, evaluate the product using a sum or difference of two functions. Leave... Problem 24SE: For the following exercises, evaluate the product using a sum or difference of two functions. Leave... Problem 25SE: For the following exercises, evaluate the product using a sum or difference of two functions. Leave... Problem 26SE: For the following exercises, evaluate the product using a sum or difference of two functions. Leave... Problem 27SE: For the following exercises, rewrite the sum as a product of two functions. Leave in terms of sine... Problem 28SE: For the following exercises, rewrite the sum as a product of two functions. Leave in terms of sine... Problem 29SE: For the following exercises, rewrite the sum as a product of two functions. Leave in terms of sine... Problem 30SE: For the following exercises, rewrite the sum as a product of two functions. Leave in terms of sine... Problem 31SE: For the following exercises, rewrite the sum as a product of two functions. Leave in terms of sine... Problem 32SE: For the following exercises, prove the identity. 32. cos(a+b)cos(ab)=1tanatanb1+tanatanb Problem 33SE: For the following exercises, prove the identity. 33. 4sin(3x)cos(4x)=2sin(7x)2sinx Problem 34SE: For the following exercises, prove the identity. 34. 6cos(8x)sin(2x)sin(6x)=3sin(10x)csc(6x)+3 Problem 35SE: For the following exercises, prove the identity. 35. sinx+sin(3x)=4sinxcos2x Problem 36SE: For the following exercises, prove the identity. 36. 2(cos3xcosxsin2x)=cos(3x)+cosx Problem 37SE: For the following exercises, prove the identity. 37. 2tanxcos(3x)=secx(sin(4x)sin(2x)) Problem 38SE: For the following exercises, prove the identity. 38. cos(a+b)+cos(ab)=2cosacosb Problem 39SE: For the following exercises, rewrite the sum as a product of two functions or the product as a sum... Problem 40SE: For the following exercises, rewrite the sum as a product of two functions or the product as a sum... Problem 41SE: For the following exercises, rewrite the sum as a product of two functions or the product as a sum... Problem 42SE: For the following exercises, rewrite the sum as a product of two functions or the product as a sum... Problem 43SE: For the following exercises, rewrite the sum as a product of two functions or the product as a sum... Problem 44SE: For the following exercises, algebraically determine whether each of the given expressions is a true... Problem 45SE: For the following exercises, algebraically determine whether each of the given expressions is a true... Problem 46SE: For the following exercises, algebraically determine whether each of the given expressions is a true... Problem 47SE: For the following exercises, algebraically determine whether each of the given expressions is a true... Problem 48SE: For the following exercises, algebraically determine whether each of the given expressions is a true... Problem 49SE: For the following exercises, simplify the expression to one term, then graph the original function... Problem 50SE: For the following exercises, simplify the expression to one term, then graph the original function... Problem 51SE: For the following exercises, simplify the expression to one term, then graph the original function... Problem 52SE: For the following exercises, simplify the expression to one term, then graph the original function... Problem 53SE: For the following exercises, simplify the expression to one term, then graph the original function... Problem 54SE: For the following exercises, prove the following sum-to-product formulas. 54.... Problem 55SE: For the following exercises, prove the following sum-to-product formulas. 55.... Problem 56SE: For the following exercises, prove the identity. 56. sin(6x)+sin(4x)sin(6x)sin(4x)=tan(5x)cotx Problem 57SE: For the following exercises, prove the identity. 57. cos(3x)+cosxcos(3x)cosx=cot(2x)cotx Problem 58SE: For the following exercises, prove the identity. 58.... Problem 59SE: For the following exercises, prove the identity. 59. cos(2y)cos(4y)sin(2y)+sin(4y)=tany Problem 60SE: For the following exercises, prove the identity. 60. sin(10x)sin(2x)cos(10x)+cos(2x)=tan(4x) Problem 61SE: For the following exercises, prove the identity. 61. cosxcos(3x)=4sin2xcosx Problem 62SE: For the following exercises, prove the identity. 62. 3 (cos(2x)cos( 4x)2)+(sin(4x)+sin(... Problem 63SE: For the following exercises, prove the identity. 63. tan(4t)=1tant1+tant format_list_bulleted