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AlgII Final Exam Cheat Sheet Cheat Sheet by

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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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.

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.

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