Take the first letter of your first name. Convert it to a number between 1 and 2
ID: 2920317 • Letter: T
Question
Take the first letter of your first name. Convert it to a number between 1 and 26 by following the pattern A ? 1, B ? 2, . . . , Z ? 26. If your number is over 22, subtract 22. Go to page 578 in the textbook (the Chapter 7 Review). Locate the identity corresponding to your number. Write this identity at the top of your paper, then verify it. My first letter is A. the book is Stewart, precalculus mathematics for calculus 7 edition.
sprecalc7/shell.html?s-eb13bfbd0e1c272e37bb60ed 1a49361d&c-4755928f-70762118; port bookmarks now.. Stewart | Redlin Watson 14096 23-26 Checking Identities Graphically (a) Graph f and (b) Do the graphs suggest that the equation f(x)-g(x) is identity? Prove your answer 1-22 Proving Identities Verify the identity 2. (sece-1)(sece + 1)-ta?? 23. f(x,-1-(cos ,-sin x), g(x)-sinx 24. f(x) = sin r + oos r, g(c)-V sinir + cost 1 - sinx 25.rx-tan x tan r g(x) ?? 5. = coex-secr sin'x 26. f(x) 1-8sin'r +8 sin's ofx)cos 4r 27-28 Determining Identities Graphically (a) Graph the function(s) and make a com] re, and (b) prove your conjccture 6. cosx 1 sin secxtan 27. Kx) -2 sin'3t cos t 29-46 Solving Trigonometric Equations Solve the equation in the interval [0, 2?). 29, 4sina-3 =0 30. 5 cos +3-0 31. cos r sin t sin -0 32. sin 2 sin' sin 2x l + cos 2x 11.an x 12. cot ytun x 14. 1 15, sin 2 cos 2 36. 4-in7x + 2cocx=3 37. 38, sin c cos 2 -tan a 1 t cos r 19. (csin1in un 2s 21. 45, cos v 46. 578-579Explanation / Answer
so if your first letter is A , then you need to do question 1.
1) Sin? (tan? +cot? ) = sec ?
LHS= Sin ? (tan? +cot? )
= sin ? *tan ? + sin ? *cot ?
=sin2 ?/cos ? + cos ? [because tan ?= sin?/cos ? adn cot ?= cos ?/sin ? ]
taking LCM
=(sin2 ?+ cos2 ? )/cos ?
=1/cos ? [because sin2 ?+ cos2 ? =1]
=sec ?
i.e. equal to RHS
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