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6.2 Verifying Identities Graphically

6.2 Verifying Identities Graphically. Graphing Crash Course! Put calculator in Radian Mode MODE  3 rd one down RADIAN (select) You enter equations by selecting Y = (1 st top button) Let’s graph basic y = sin x & y = sec x for practice Y 1 = sin(x) Y 2 = 1/ cos (x)

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6.2 Verifying Identities Graphically

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  1. 6.2 Verifying Identities Graphically

  2. Graphing Crash Course! Put calculator in Radian Mode MODE  3rd one down RADIAN (select) You enter equations by selecting Y = (1st top button) Let’s graph basic y = sin x & y = sec x for practice Y1 = sin(x) Y2 = 1/cos(x) ZOOM  7: Ztrig We will use our graphing calculators to decide if an equation appears to be an identity. (Remember, this is not a proof!) 2nd MODE to Quit to get x, use X, T, θ, n button toggle over to left side of Y2, hit ENTER until it changes to -0

  3. For all examples, use your graphing calculator to determine whether each example appears to be an identity. • Remember to -0 graph the second one! • Anytime you see a variable (, , θ, etc), you type X • Ex 1) Y1 = 1 / tan(x) Y2 = cos(x) / sin(x) Yes Y1 = 1 / sin(x – π) Y2 = 1 / cos(x) Ex 2) No

  4. Y1 = (sin(x)*(1 /sin(x))) / tan(x) Y2 = –1 / tan(x) Ex 3) No Y1 = (1 / cos(x))2 + tan(x)2 + 1 Y2 = 2 / cos(x)2 Ex 4) Yes

  5. Y1 = cos(x) / (cos(x) + sin(x)) Y2 = (1 / tan(x)) / (1 + (1 / tan(x))) Ex 5) Yes Y1 = sin–1(x) Y2 = cos–1 (x) + π/2 Ex 6) No

  6. Homework #605 Pg 294 #1, 5, 9, 11, 12, 17, 25, 29, 34, 35, 38, 39, 41, 43, 46 Even Answers: #12: Yes #34: No #38: 8; 1/40; 40 #46: No

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