Problem 1TI: Given sin=58 , with in quadrant I, find (2) . Problem 2TI: Verify the identity: cos4sin4=cos(2) . Problem 3TI: Verify the identity: cos(2)cos=cos3cossin2. Problem 4TI: Use the power-reducing formulas to prove that 10cos4x=154+5cos(2x)+54cos(4x) . Problem 5TI: Given that sin=45 and lies in quadrant IV, find the exact value of cos(2) . Problem 1SE: Explain how to determine the reduction identities from the double-angle identity cos(2x)=cos2xsin2x. Problem 2SE: Explain how to determine the double-angle formula for tan(2x) using the double-angle formulas for... Problem 3SE: We can determine the half-angle formula for tan(x2)=1cosx1+cosxtan(x2)=1cosx1+cosx by dividing the... Problem 4SE: For the half-angle formula given in the previous exercise for tan tan(x2) , explain why dividing by... Problem 5SE: For the following exercises, find the exact values of a)sin(2x),b)cos(2x),c)tan(2x) without solving... Problem 6SE: For the following exercises, find the exact values of a)sin(2x),b)cos(2x),c)tan(2x) without solving... Problem 7SE: For the following exercises, find the exact values of a)sin(2x),b)cos(2x),c)tan(2x) without solving... Problem 8SE: For the following exercises, find the exact values of a)sin(2x),b)cos(2x),c)tan(2x) without solving... Problem 9SE: For the following exercises, find the values of the six trigonometric functions if the conditions... Problem 10SE: For the following exercises, find the values of the six trigonometric functions if the conditions... Problem 11SE: For the following exercises, simplify to one trigonometric expression 11. 2sin(4)2cos(4) Problem 12SE: For the following exercises, simplify to one trigonometric expression. 12. 4sin(8)cos(8) Problem 13SE: For the following exercises, find the exact value using half-angle formulas. 13. sin(8) Problem 14SE: For the following exercises, find the exact value using half-angle formulas. 14. cos(1112) Problem 15SE: For the following exercises, find the exact value using half-angle formulas 15. sin(1112) Problem 16SE: For the following exercises, find the exact value using half-angle formulas. 16. cos(78) Problem 17SE: For the following exercises, find the exact value using half-angle formulas. 17. tan(512) Problem 18SE: For the following exercises, find the exact value using half-angle formulas. 18. tan(312) Problem 19SE: For the following exercises, find the exact value using half-angle formulas. 19. tan(38) Problem 20SE: For the following exercises, find the exact values of a)sin(x2),b)cos(x2),c)tan(x2) without solving... Problem 21SE: For the following exercises, find the exact values of a)sin(x2),b)cos(x2),c)tan(x2) without solving... Problem 22SE: For the following exercises, find the exact values of a)sin(x2),b)cos(x2),c)tan(x2) without solving... Problem 23SE: For the following exercises, find the exact values of a)sin(x2),b)cos(x2),c)tan(x2) without solving... Problem 24SE: For the following exercises, use Figure 5 to find the requested half and double angles. 24. Find... Problem 25SE: For the following exercises, use Figure 5 to find the requested half and double angles. 25. Find... Problem 26SE: For the following exercises, use Figure 5 to find the requested half and double angles. 26. Find... Problem 27SE: For the following exercises, use Figure 5 to find the requested half and double angles. 27. Find... Problem 28SE: For the following exercises, simplify each expression. Do not evaluate. 28. cos2(28)sin2(28) Problem 29SE: For the following exercises, simplify each expression. Do not evaluate. 29. 2cos2(37)1 Problem 30SE: For the following exercises, simplify each expression. Do not evaluate. 30. 12sin2(17) Problem 31SE: For the following exercises, simplify each expression. Do not evaluate. 31. cos2(9x)sin2(9x) Problem 32SE: For the following exercises, simplify each expression. Do not evaluate. 32. 4sin(8x)cos(8x) Problem 33SE: For the following exercises, simplify each expression. Do not evaluate. 33. 6sin(5x)cos(5x) Problem 34SE: For the following exercises, prove the identity given. 34. (sintcost)2=1sin(2t) Problem 35SE: For the following exercises, prove the identity given 35. sin(2x)=2sin(x)cos(x) Problem 36SE: For the following exercises, prove the identity given 36. cotxtanx=2cot(2x) Problem 37SE: For the following exercises, prove the identity given. 37. sin(2)1+cos(2)tan2=tan3 Problem 38SE: For the following exercises, rewrite the expression with an exponent no higher than 1. 38. cos2(5x) Problem 39SE: For the following exercises, rewrite the expression with an exponent no higher than 1. 39. cos2(6x) Problem 40SE: For the following exercises, rewrite the expression with an exponent no higher than 1. 40. sin4(8x) Problem 41SE: For the following exercises, rewrite the expression with an exponent no higher than 1. 41. sin4(3x) Problem 42SE: For the following exercises, rewrite the expression with an exponent no higher than 1. 42.... Problem 43SE: For the following exercises, rewrite the expression with an exponent no higher than 1 43. cos4xsin2x Problem 44SE: For the following exercises, rewrite the expression with an exponent no higher than 1. 44.... Problem 45SE: For the following exercises, reduce the equations to powers of one, and then check the answer... Problem 46SE: For the following exercises, reduce the equations to powers of one, and then check the answer... Problem 47SE: For the following exercises, reduce the equations to powers of one, and then check the answer... Problem 48SE: For the following exercises, reduce the equations to powers of one, and then check the answer... Problem 49SE: For the following exercises, reduce the equations to powers of one, and then check the answer... Problem 50SE: For the following exercises, reduce the equations to powers of one, and then check the answer... Problem 51SE: For the following exercises, reduce the equations to powers of one, and then check the answer... Problem 52SE: For the following exercises, reduce the equations to powers of one, and then check the answer... Problem 53SE: For the following exercises, algebraically find an equivalent function, only in terms of sin x... Problem 54SE: For the following exercises, algebraically find an equivalent function, only in terms of sin x... Problem 55SE: For the following exercises, prove the identities. 55. sin(2x)=2tanx1+tan2x Problem 56SE: For the following exercises, prove the identities. 56. sin(2)=1tan21+tan2 Problem 57SE: For the following exercises, prove the identities. 57. tan(2x)=2sinxcosx2cos2x1 Problem 58SE: For the following exercises, prove the identities. 58. ( sin2x1)2=cos(2x)+sin4x Problem 59SE: For the following exercises, prove the identities. 59. sin(3x)=3sinxcos2xsin3x Problem 60SE: For the following exercises, prove the identities. 60. cos(3x)=cos3x3sin2xcosx Problem 61SE: For the following exercises, prove the identities. 61. 1+cos(2t)sin(2t)cost=2cost2sint1 Problem 62SE: For the following exercises, prove the identities. 62. sin(16x)=16sinxcosxcos(2x)cos(4x)cos(8x) Problem 63SE: For the following exercises, prove the identities 63.... format_list_bulleted