Problem 1RE: For the following exercises, find all solutions exactly that exist on the interval [0, 2n). 1.... Problem 2RE: For the following exercises, find all solutions exactly that exist on the interval [0,2) . 2.... Problem 3RE: For the following exercises, find all solutions exactly that exist on the interval [0,2) . 3. 2sin=1 Problem 4RE: For the following exercises, find all solutions exactly that exist on the interval [0,2) . 4.... Problem 5RE: For the following exercises, find all solutions exactly that exist on the interval [0,2) . 5.... Problem 6RE: For the following exercises, find all solutions exactly that exist on the interval [0,2) . 6.... Problem 7RE: For the following exercises, use basic identities to simplify the expression. 7. secxcosx+cosx1secx Problem 8RE: For the following exercises, use basic identities to simplify the expression. 8. sin3x+cos2xsinx Problem 9RE: For the following exercises, determine if the given identities are equivalent. 9. sin2x+sec2x1=(1... Problem 10RE: For the following exercises, determine if the given identities are equivalent. 10.... Problem 11RE: For the following exercises, find the exact value. 11. tan(712) Problem 12RE: For the following exercises, find the exact value. 12. cos(2512) Problem 13RE: For the Following exercises, find the exact value 13. sin(70)cos(25)cos(70)sin(25) Problem 14RE: For the following exercises, find the exact value. 14. cos(83)cos(23)+sin(83)sin(23) Problem 15RE: For the following exercises, prove the identity. 15. cos(4x)cos(3x)cosx=sin2x4cos2xsin2x Problem 16RE: For the following exercises, prove the identity. 16. cos(3x)cos3x=cosxsin2xsinxsin(2x) Problem 17RE: For the following exercises, simplify the expression. 17. tan(12x)+tan(18x)1tan(18x)tan(12x) Problem 18RE: For the following exercises, find the exact value. 18. cos(sin1(0)cos1(12)) Problem 19RE: For the following exercises, find the exact value. 19. tan(sin1(0)+sin1(12)) Problem 20RE: For the following exercises, find the exact value. 20. Find sin(2),cos(2),andtan(2) given cos=12 and... Problem 21RE: For the following exercises, find the exact value. 21. Find sin(2),cos(2),andtan(2) given sec=53 and... Problem 22RE: For the following exercises, find the exact value. 22. sin(78) Problem 23RE: For the following exercises, find the exact value. 23. sec(38) Problem 24RE: For the following exercises, use Figure 1 to find the desired quantities. 24.... Problem 25RE: For the following exercises, use Figure 1 to find the desired quantities 25.... Problem 26RE: For the following exercises, prove the identity. 26. 2cos(2x)sin(2x)=cotxtanx Problem 27RE: For the following exercises, prove the identity. 27. cotxcos(2x)=sin(2x)+cotx Problem 28RE: For the following exercises, rewrite the expression with no powers 28. cos2xsin4(2x) Problem 29RE: For the following exercises, rewrite the expression with no powers. 29. tan2xsin3x Problem 30RE: For the following exercises, evaluate the product for the given expression using a sum or difference... Problem 31RE: For the following exercises, evaluate the product for the given expression using a sum or difference... Problem 32RE: For the following exercises, evaluate the product for the given expression using a sum or difference... Problem 33RE: For the following exercises, evaluate the sum by using a product formula. Write the exact answer.... Problem 34RE: For the following exercises, evaluate the sum by using a product formula. Write the exact answer.... Problem 35RE: For the following exercises, change the functions from a product to a sum or a sum to a product. 35.... Problem 36RE: For the following exercises, change the functions from a product to a sum or a sum to a product. 36.... Problem 37RE: For the following exercises, change the functions from a product to a sum or a sum to a product 37.... Problem 38RE: For the following exercises, change the functions from a product to a sum or a sum to a product 38.... Problem 39RE: For the following exercises, find all exact solutions on the interval [0,2). 39. tanx+1=0 Problem 40RE: For the following exercises, find all exact solutions on the interval [0,2). 40. 2sin(2x)+2=0 Problem 41RE: For the following exercises, find all exact solutions on the interval [0,2). 41. 2sin2xsinx=0 Problem 42RE: For the following exercises, find all exact solutions on the interval [0,2). 42. cos2xcosx1=0 Problem 43RE: For the following exercises, find all exact solutions on the interval [0,2). 43. 2sin2x+5sinx+3=0 Problem 44RE: For the following exercises, find all exact solutions on the interval [0,2). 44. cosx5sin(2x)=0 Problem 45RE: For the following exercises, find all exact solutions on the interval [0,2). 45.... Problem 46RE: For the following exercises, simplify the equation algebraically as much as possible. Then use a... Problem 47RE: For the following exercises, simplify the equation algebraically as much as possible. Then use a... Problem 48RE: For the following exercises, graph each side of the equation to find the zeroes on the interval... Problem 49RE: For the following exercises, graph each side of the equation to find the zeroes on the interval... Problem 1PT: For the following exercises, simplify the given expression 1. cos(x)sinxcotx+sin2x Problem 2PT: For the following exercises, simplify the given expression. 2. sin(x)cos(2x)sin(x)cos(2x) Problem 3PT: For the following exercises, simplify the given expression. 3. csc()cot()(sec21) Problem 4PT: For the following exercises, simplify the given expression. 4. cos2()sin2()(1+cot2())(1+tan2()) Problem 5PT: For the following exercises, find the exact value. 5. cos(712) Problem 6PT: For the following exercises, find the exact value. 6. tan(38) Problem 7PT: For the following exercises, find the exact value. 7. tan(sin1( 2 2)+tan13) Problem 8PT: For the following exercises, find the exact value. 8. 2sin(4)sin(6) Problem 9PT: For the following exercises, find the exact value. 9. cos(43+) Problem 10PT: For the following exercises, find the exact value. 10. tan(4+) Problem 11PT: For the following exercises, simplify each expression. Do not evaluate. 11. cos2(32)tan2(32) Problem 12PT: For the following exercises, simplify each expression. Do not evaluate. 12. cot(2) Problem 13PT: For the following exercises, find all exact solutions to the equation on [0,2) . 13. cos2xsin2x1=0 Problem 14PT: For the following exercises, find all exact solutions to the equation on [0,2) . 14.... Problem 15PT: For the following exercises, find all exact solutions to the equation on [0,2) . 15. cos(2x)+sin2x=0 Problem 16PT: For the following exercises, find all exact solutions to the equation on [0,2) . 16. 2sin2xsinx=0 Problem 17PT: Rewrite the sum as a product: cos(2x)+cos(8x) . Problem 18PT: Rewrite the product as a sum or difference: 8cos(15x)sin(3x) Problem 19PT: Rewrite the difference as a product: 2sin(8)sin(4) Problem 20PT: Find all solutions of tan(x)3=0 . Problem 21PT: Find the solutions of sec2x2secx=15 on the interval [0,2) algebraically; then graph both sides of... Problem 22PT: For the following exercises, find all exact solutions to the equation on [0,2) . 22. 2cos(2)=1 Problem 23PT: For the following exercises, find all exact solutions to the equation on [0,2) . 23. 3cot(y)=1 Problem 24PT: Find sin(2),cos(2),andtan(2) given cot=34 and is on the interval [2,] Problem 25PT: Find sin(2),cos(2),andtan(2) given cot=725 and is in quadrant IV. Problem 26PT: Rewrite the expression sin4x with no powers greater than 1. Problem 27PT: For the following exercises, prove the identity. 27. tan3xtanxsec2x=tan(x) Problem 28PT: For the following exercises, prove the identity. 28. sin(3x)cosxsin(2x)=cos2xsinxsin3x Problem 29PT: For the following exercises, prove the identity. 29. sin(2x)sinxcos(2x)cosx=secx Problem 30PT: Plot the points and find a function of the form y=Acos(Bx+C)+D that fits the given data. Problem 31PT: The displacement h(t) in centimeters of a mass suspended by a spring is modeled by the function... Problem 32PT: A woman is standing 300 feet away from a 2,000- foot building. If she looks to the top of the... Problem 33PT: Two frequencies of sound are played on an instrument governed by the equation... Problem 34PT: The average monthly snowfall in a small village in the Himalayas is 6 inches, with the low of 1 inch... Problem 35PT: A spring attached to a ceiling is pulled down 20 cm. After 3 seconds, wherein it completes 6 full... Problem 36PT: Water levels near a glacier currently average 9 feet, varying seasonally by 2 inches above and below... format_list_bulleted