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Math 172 Precalc-Trigonometry

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Math 172 Precalc-Trigonometry - Page Text Content

S: Trigonometry Review

1: Basic Identities | sin x= 1/csc x csc x=1/sin x cos x=1/sec x sec x=s/cos x tan x=1/cot x cot x=1/tan x | sin(-x)= -sin x cos(-x)= cos x tan(-x)= -tan x tan x= sin x/cos x cot x=cos x/ sin x

2: Logarithmic Functions | converting from logarithmic to exponential LOGaX=Y <-> x=a^Y | Change of Base LOGbM=LOGaM/LOGab

3: Trigonometric Function Values | Sin= opposite/hypotenuse cos=adjacent/hypotenuse tan=opposite/adjacent soh cah toa | csc=hyp/opp COUSINS sec=hyp/adj cot=adj/opp

4: to find reciprocal functions put 1/ the function (sin, cos, tan) | reference angle in Q1= Angle Q2=180-the angle Q3=the angle-180 Q4=360-the angle | coterminal- add or subtract multiples of 360

5: Law of Sines a/sinA=b/sinB=c/sinC Law of Cosines a^2=b^2+c^2-2(b)(c)cosA b^2=a^2+c^2-2(a)(c)cosB c^2=a^2+b^2-2(a)(b)cosC | When setting up a triangle little a is always across from big A...b across from B...and c across from C

6: sin=y/r csc= r/y cos=x/r sec=r/x tan=y/x cot=x/y | tan x=sin x/cos x cot x=cos x/sin x csc x= 1/sin x sec x= 1/cos x cot x=1/tan x | sin^2x+cos^2x=1 1+cot^2x=csc^2x 1+tan^2x=sec^2x

7: sin(u+v)= sin u cos v+cos u sin u cos(u+v)= cos u cos v-sin u sin v tan (u+v)=tan u+tan v/1-tan u tan v sin(u-v)= sin u cos v-cos u sin u cos(u-v)= cos u cos v+sin u sin v tan (u-v)=tan u-tan v/1+tan u tan v

8: A Smart Trig Class | L I A O L N N S E | pneumatic devices to help remember what is positive and negative in each quadrant | A Smart Trig Class | L I A O L N N S E | pneumatic devices to help remember what is positive and negative in each quadrant

9: quadrant 1- all are positive quadrant 2- sine is positive; cos and tan are negative quadrant 3- tan is positive;cos and sin are negative quadrant 4- cos is positive; tan and sin are negative | quadrant 1- all are positive quadrant 2- sine is positive; cos and tan are negative quadrant 3- tan is positive;cos and sin are negative quadrant 4- cos is positive; tan and sin are negative

15: Happy Father's Day

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

18: Summer Time!

24: Trick or Treat

26: HAPPY BIRTHDAY

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

31: A Day to Give Thanks

33: J O Y

34: NEW YEAR | HAPPY

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