AlgII Final Exam Cheat Sheet

A cheat sheet in English by nosolution4

7,397 views 2,086 downloads 3 Jun 2015 History

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Double Angle Identities

sin(2a)=2sin(a)cos(a)
cos(2a)=cos²(a)-sin²(a)
cos(2a)=2cos²(a)-1
cos(2a)=1-sin²(a)
tan(2a)=2tan(a)/1-tan²(a)

Angle Sum/Difference Identities

sin(A-B)=sin Acos B- cos Asin B
cos(A-B)= cos A cos B+sin A sin B
tan(A-B)= tan A - tan B/ 1+tan A tan B

sin(A+B)=sin Acos B+ cos Asin B
cos(A+B)= cos A cos B-sin A sin B
tan(A+B)= tan A + tan B/ 1-tan A tan B

Unit Circle

Reciprocal Identities and Cotangent/Tangent

cscx= 1/sinx
secx=1/cosx
cotx=1/tanx

tanx=sinx/cosx
cotx=cosx/sinx

Pythagorean Idenitities

cos²x+sin²x=1
1+tan²x=sec²x
1+cot²x=csc²x

Common Functions

f(x)=mx+b is a line moving up
f(x)= x² is a parabola
f(x)= x³ is a half parabola with a reflection under the x axis
f(x)= sqrtx is a half sideways parabola on the positive side of the first quadrant

Half Angle Identities

sinA/2= +- sqrt 1-cosA/2
cos A/2= +- sqrt 1+cos A/2
tan A/2= +- sqrt 1-cos A/1+cos A

Domain and Range

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Comments (2)

asiegand2 04:47 3 Jun 2015

How did you insert a picture?!?!?! Please help. I may not ever even see the response, but i will check for future references. I f i respond late my apologies in advance.