Problem 1CVC: Fill in each blank so that the resulting statement is true. To verify an identity, start with the... Problem 2CVC: Fill in each blank so that the resulting statement is true.
2. It is sometimes helpful to verify an... Problem 3CVC: Fill in each blank so that the resulting statement is true.
3. True or false: To verify the identity... Problem 4CVC: Fill in each blank so that the resulting statement is true
4. can be simplified... Problem 5CVC: Fill in each blank so that the resulting statement is true.
5. You can use your graphing calculator... Problem 1E: In Exercises 1-60, verify each identity. sinxsecx=tanx Problem 2E: In Exercises 1-60, verify each identity.
2.
Problem 3E: In Exercises 1-60, verify each identity. tan(x)cosx=sinx Problem 4E: In Exercises 1-60, verify each identity.
4.
Problem 5E: In Exercises 1-60, verify each identity. tanxcscxcosx=1 Problem 6E: In Exercises 1-60, verify each identity.
6.
Problem 7E: In Exercises 1-60, verify each identity. secxsecxsin2x=cosx Problem 8E: In Exercises 1-60, verify each identity.
8.
Problem 9E: In Exercises 1-60, verify each identity. cos2xsin2x=12sin2x Problem 10E: In Exercises 1-60, verify each identity.
10.
Problem 11E: In Exercises 1-60, verify each identity.
11.
Problem 12E: In Exercises 1-60, verify each identity.
12.
Problem 13E: In Exercises 1-60, verify each identity. tancotcsc=sin Problem 14E: In Exercises 1-60, verify each identity. cosseccot=tan Problem 15E: In Exercises 1-60, verify each identity. sin2(1+cot2)=1 Problem 16E: In Exercises 1-60, verify each identity. cos2(1+tan2)=1 Problem 17E: In Exercises 1-60, verify each identity. sinttant=1cos2tcost Problem 18E Problem 19E: In Exercises 1-60, verify each identity.
19.
Problem 20E: In Exercises 1-60, verify each identity.
20.
Problem 21E: In Exercises 1-60, verify each identity.
21.
Problem 22E: In Exercises 1-60, verify each identity.
22.
Problem 23E: In Exercises 1-60, verify each identity. 1cossin=csccot Problem 24E: In Exercises 1-60, verify each identity. 1sincos=sectan Problem 25E: In Exercises 1-60, verify each identity.
25.
Problem 26E: In Exercises 1-60, verify each identity.
26.
Problem 27E: In Exercises 1-60, verify each identity.
27.
Problem 28E: In Exercises 1-60, verify each identity. cott+sint1+cost=csct Problem 29E: In Exercises 1-60, verify each identity.
29.
Problem 30E: In Exercises 1-60, verify each identity.
30.
Problem 31E: In Exercises 1-60, verify each identity. cosx1sinx+1sinxcosx=2secx Problem 32E: In Exercises 1-60, verify each identity. sinxcosx+1+cosx1sinx=0 Problem 33E: In Exercises 1-60, verify each identity.
33.
Problem 34E: In Exercises 1-60, verify each identity.
34.
Problem 35E: In Exercises 1-60, verify each identity. secxcscxsecx+cscx=tanx1tanx+1 Problem 36E: In Exercises 1-60, verify each identity. cscxsecxcscx+secx=cotx1cotx+1 Problem 37E: In Exercises 1-60, verify each identity.
37.
Problem 38E: In Exercises 1-60, verify each identity. tan2xcot2xtan2x+cotx=tanxcotx Problem 39E: In Exercises 1-60, verify each identity. tan22x+sin22x+cos22x=sec22x Problem 40E: In Exercises 1-60, verify each identity. cot22x+cos22x+sin22x=csc22x Problem 41E: In Exercises 1-60, verify each identity. tan2+cot2csc2=sec2 Problem 42E: In Exercises 1-60, verify each identity.
42.
Problem 43E: In Exercises 1-60, verify each identity.
43.
Problem 44E: In Exercises 1-60, verify each identity. cotx+coty1cotxcoty=cosxsiny+sinxcosysinxsinycosxcosy Problem 45E: In Exercises 1-60, verify each identity.
45.
Problem 46E: In Exercises 1-60, verify each identity. (cscxcotx)2=1cosx1+cosx Problem 47E: In Exercises 1-60, verify each identity.
47.
Problem 48E: In Exercises 1-60, verify each identity.
48.
Problem 49E: In Exercises 1-60, verify each identity. 1+cost1cost=(csct+cott)2 Problem 50E: In Exercises 1-60, verify each identity. cos2t+4cost+4cost+2=2sect+1sect Problem 51E: In Exercises 1-60, verify each identity.
51.
Problem 52E: In Exercises 1-60, verify each identity.
52.
Problem 53E: In Exercises 1-60, verify each identity. sincossin+cossincos=2seccsc Problem 54E: In Exercises 1-60, verify each identity.
54.
Problem 55E: In Exercises 1-60, verify each identity. (tan2+1)(cos2+1)=tan2+2 Problem 56E: In Exercises 1-60, verify each identity.
56.
Problem 57E: In Exercises 1-60, verify each identity. (cossin)2(cos+sin)2=2 Problem 58E: In Exercises 1-60, verify each identity. (3cos4sin)2+(4cos+3sin)2=25 Problem 59E: In Exercises 1-60, verify each identity. cos2xsin2x1tan2x=cos2x Problem 60E: In Exercises 1-60, verify each identity.
60.
Problem 61E Problem 62E Problem 63E Problem 64E Problem 65E Problem 66E Problem 67E: In Exercises 61-66, half of an identity and the graph of this half are given. Use the graph to make... Problem 68E: In Exercises 61-66, half of an identity and the graph of this half are given. Use the graph to make... Problem 69E: In Exercises 61-66, half of an identity and the graph of this half are given. Use the graph to make... Problem 70E: In Exercises 61-66, half of an identity and the graph of this half are given. Use the graph to make... Problem 71E: In Exercises 61-66, half of an identity and the graph of this half are given. Use the graph to make... Problem 72E: In Exercises 61-66, half of an identity and the graph of this half are given. Use the graph to make... Problem 73E: In Exercises 67-74, rewrite each expression in terms of the given function or functions.... Problem 74E Problem 75E: In Exercises 67-74, rewrite each expression in terms of the given function or functions.... Problem 76E Problem 77E Problem 78E Problem 79E Problem 80E Problem 81E: 75. Explain how to verify an identity.
Problem 82E: 76. Describe two strategies that can be used to verify identities.
Problem 83E: 77. Describe how you feel when you successfully verify a difficult identity. What other activities... Problem 84E Problem 85E: In Exercises 79-87, graph each side of the equation in the same viewing rectangle. If the graphs... Problem 86E: In Exercises 79-87, graph each side of the equation in the same viewing rectangle. If the graphs... Problem 87E: In Exercises 79-87, graph each side of the equation in the same viewing rectangle. If the graphs... Problem 88E: In Exercises 79-87, graph each side of the equation in the same viewing rectangle. If the graphs... Problem 89E: In Exercises 79-87, graph each side of the equation in the same viewing rectangle. If the graphs... Problem 90E Problem 91E Problem 92E Problem 93E: In Exercises 79-87, graph each side of the equation in the same viewing rectangle. If the graphs... Problem 94E Problem 95E: Make Sense? In Exercises 88-91, determine whether each statement makes sense or does not make sense,... Problem 96E Problem 97E Problem 98E Problem 99E: In Exercises 92-95, verify each identity.
93.
Problem 100E Problem 101E Problem 102E Problem 103E: Group members are to write a helpful list of items for a pamphlet called The Underground Guide to... Problem 104E Problem 105E Problem 106E Problem 107E: Exercises 101-103 will help you prepare for the material covered in the next section. Give exact... Problem 108E: Exercises 101-103 will help you prepare for the material covered in the next section.
102. Use the... Problem 109E format_list_bulleted