Relationships Amoung Functions!

Steps(to be followed loosely):

~Algebra

~Identies

~Algebra- again

~Continue with steps 1-3

Pythagorean Identies:

~sin^2(theta)+cos^2(theta)=1

~1+tan^2(theta)=sec^2(theta)

~1+cot^2(theta)=csc^2(theta)

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Ex.1: cos^2(theta)+1

cos^2(theta)+sin^2(theta)=1~so~ cos^2(theta)+1= -sin^2(theta)

Ex.2: (cos(theta)+1)(cos(theta)-1)

cos^2(theta)+cos(theta)-cos(theta)+1

*The cos(theta) and the -cos(theta) will cancel.

cos^2(theta)+1=-sin^2(theta)

Ex.3: (cot(theta)+1)(cot(theta)-1)

cot^2(theta)+cot(theta)-cot(theta)-1

*The cot(theta) and the -cot(theta) will cancel.

cot^2(theta)-1= -csc^2(theta)