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# Year End Review

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### Year End Review - Page Text Content

FC: A YEAR IN REVIEW

1: Michael Taylor's Math Project

2: Acute Angles sin = opposite divided by hypotenuse cos = adjacent divided by hypotenuse tan = opposite divided by adjacent

3: Unit Circle Quadrant I: sin and cos are positive Quadrant II: cos is negative Quadrant III: sin and cos are negative Quadrant IV: sin is negative

4: Transformations of Functions y=Asin(Bx-C) + D = Asin[B(x-C/B)] + D period: |2pi/B| amplitude: |A| phase shift: C/B

5: Pythagorean Identities sin^2x + cos^2x = 1 1 + cot^2x = csc^2x 1 = tan^2x = sec^2x

6: Sum and Difference Identities sin(u + v) = sinucosv + cosusinv sin(u - v) = sinucosv - cosusinv cos(u + v) = cosucosv - sinusinv cos(u - v) = cosucosv + sinusinv tan(u + v) = tanu + tanv divided by 1 - tanutanv tan(u - v) = tanu - tanv divided by 1 + tanutanv

7: Law of Sines a/sinA = b/sinB = c/sinC for angle-side-angle (ASA), angle-angle-side (AAS), and side-side-angle (SSA)

8: Law of Cosines a^2= b^2 + c^2 -2bc cosA b^2 = a^2 + c^2 - 2ac cosB c^2 = a^2 + b^2 - 2ab cosC | for side-side-side (SSS) and side-angle-side (SAS)

9: Area of Triangle K = 1/2 bc sinA = 1/2 ab sinC = 1/2 ac sinB

10: Complex Numbers absolute value: r = square root of (a^2 + b^2) trigonometric notation: a + bi = r(cosX + i sinX) multiplication: r1(cosX1 + i sinX1) * r2(cosX2 + i sinX2) = r1r2[ cos(X1+X2) + i sin(X1+X2)] division:r1(cosX1 + i sinX1) divided by r2(cosX2 + i sinX2) = r1/r2[cos(X1-X2) + isin(X1-X2)]

11: DeMoivre's Theorem [r(cosX + i sinX0]^n = r^n(cosnX + i sinnX)

12: "Families are like fudge ... mostly sweet with a few nuts."

13: MAKING MEMORIES

14: ANNIVERSARY

15: { | { | LOVE

17: "The friends we meet on the path of life make the trip worth while."

19: EASTER | happy | Spring Time

20: so many | Each memory we keep with care means future happiness to share.

21: LIVE WELL LAUGH OFTEN LOVE MUCH

25: Happy Father's Day

26: Life brings simple pleasures to us every day. It is up to us to make them wonderful memories. ~Cathy Allen

28: Summer Time!

34: Trick or Treat

36: HAPPY BIRTHDAY

39: It's The Little Things In Life That Matter

41: A Day to Give Thanks

43: J O Y

44: NEW YEAR | HAPPY

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• By: Michael T.
• Joined: about 7 years ago
• Published Mixbooks: 1
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