P Prerequisites: Fundamental Concepts Of Algebra 1 Functions And Graphs 2 Polynomial And Rational Functions 3 Exponential And Logarithmic Functions 4 Trigonometric Functions 5 Analytic Trigonometry 6 Additional Topics In Trigonometry 7 Systems Of Equations And Inequalities 8 Matrices And Determinants 9 Conic Sections And Analytic Geometry 10 Sequences, Induction, And Probability 11 Introduction To Calculus expand_more
5.1 Verifying Trigonometric Identities 5.2 Sum And Difference Formulas 5.3 Double-angle, Power-reducing, And Half-angle Formulas 5.4 Product-to-sum And Sum-to-product Formulas 5.5 Trigonometric Equations Chapter Questions expand_more
Problem 1CP: Check Point 1 Verify the identify: .
Problem 2CP: Check Point 2 Verify the identity: cosxcotx+sinx=cscx Problem 3CP Problem 4CP: Check Point 4 Verify the identity: 1+cossin=csc+cot. Problem 5CP: Check Point 5 Verify the identify: sinx1+cosx+1+cosxsinx=2cscx. Problem 6CP Problem 7CP Problem 8CP: Check Point 8 Verify the identity: 11+sin+11sin=2+2tan2 Problem 1CVC Problem 2CVC: Fill in each blank so that the resulting statement is true. 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 Problem 5CVC Problem 1PE: In Exercises 1-60, verify each identity.
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Problem 2PE: In Exercises 1-60, verify each identity.
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Problem 3PE Problem 4PE: In Exercises 1-60, verify each identity. cot(x)sinx=cosx Problem 5PE Problem 6PE: In Exercises 1-60, verify each identity.
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Problem 7PE Problem 8PE: In Exercises 1-60, verify each identity. cscxcscxcos2x=sinx Problem 9PE: In Exercises 1-60, verify each identity. cos2xsin2x=12sin2x Problem 10PE Problem 11PE Problem 12PE: In Exercises 1-60, verify each identity.
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Problem 13PE: In Exercises 1-60, verify each identity.
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Problem 14PE: In Exercises 1-60, verify each identity. cosseccot=tan Problem 15PE: In Exercises 1-60, verify each identity. sin2(1+cot2)=1 Problem 16PE: In Exercises 1-60, verify each identity.
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Problem 17PE: In Exercises 1-60, verify each identity.
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Problem 18PE Problem 19PE: In Exercises 1-60, verify each identity.
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Problem 20PE: In Exercises 1-60, verify each identity. sec2ttant=sectcsct Problem 21PE Problem 22PE Problem 23PE Problem 24PE: In Exercises 1-60, verify each identity.
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Problem 25PE Problem 26PE Problem 27PE: In Exercises 1-60, verify each identity. tant+cost1+sint=sect Problem 28PE: In Exercises 1-60, verify each identity. cott+sint1+cost=csct Problem 29PE Problem 30PE Problem 31PE Problem 32PE: In Exercises 1-60, verify each identity.
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Problem 33PE: In Exercises 1-60, verify each identity.
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Problem 34PE: In Exercises 1-60, verify each identity. csc2xsecx=secx+cscxcotx Problem 35PE Problem 36PE: In Exercises 1-60, verify each identity. cscxsecxcscx+secx=cotx1cotx+1 Problem 37PE: In Exercises 1-60, verify each identity. sin2xcos2xsin2x+cosx=sinxcosx Problem 38PE Problem 39PE Problem 40PE: In Exercises 1-60, verify each identity. cot22x+cos22x+sin22x=csc22x Problem 41PE Problem 42PE Problem 43PE Problem 44PE Problem 45PE Problem 46PE: In Exercises 1-60, verify each identity.
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Problem 47PE: In Exercises 1-60, verify each identity.
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Problem 48PE Problem 49PE Problem 50PE: In Exercises 1-60, verify each identity. cos2t+4cost+4cost+2=2sect+1sect Problem 51PE Problem 52PE Problem 53PE Problem 54PE Problem 55PE: In Exercises 1-60, verify each identity.
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Problem 56PE Problem 57PE Problem 58PE Problem 59PE: In Exercises 1-60, verify each identity.
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Problem 60PE: In Exercises 1-60, verify each identity. sinx+cosxsinxcosxsinxcosx=secxcscx Problem 61PE: In Exercises 61-66, half of an identity and the graph of this half are given. Use the graph to make... Problem 62PE Problem 63PE Problem 64PE Problem 65PE Problem 66PE: In Exercises 61-66, half of an identity and the graph of this half
are given. Use the graph to make... Problem 67PE Problem 68PE Problem 69PE Problem 70PE Problem 71PE Problem 72PE Problem 73PE Problem 74PE Problem 75PE Problem 76PE Problem 77PE Problem 78PE Problem 79PE Problem 80PE Problem 81PE Problem 82PE Problem 83PE Problem 84PE Problem 85PE: In Exercises 79-87, graph each side of the equation in the same viewing rectangle. If the graphs... Problem 86PE Problem 87PE Problem 88PE Problem 89PE Problem 90PE Problem 91PE Problem 92PE Problem 93PE: In Exercises 92-95, verify each identity.
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Problem 94PE: In Exercises 92-95, verify each identity. ln|secx|=ln|cosx| Problem 95PE Problem 96PE Problem 97PE Problem 98PE Problem 99PE: 99. Determine the amplitude and period of .
Then graph the function for .
(Section 5.5, Example 3)
Problem 100PE: Find the inverse of f(x)=x1x+1. (Section 2.7, Example 4) Problem 101PE Problem 102PE Problem 103PE: Exercises 101-103 will help you prepare for the material covered in the next section.
103. Use the... format_list_bulleted