Basic Identities

Reciprocal

Pythagorean

Quotient

<aside> 💡 Solve by simplify one side of the equation (only an exception with extra complicated problems)

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Solve for Solution

<aside> 💡 Arguments should be the same for factor. Think of log

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Remember the zero product property? Like in algebra, move the terms to one side first.

$AB=A$→$A(B-1)=0$ Not $B=1$

<aside> 💡 you can replace special ration like sin x to variables like u

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Why the example above, sin x = 3 is not true? Because the range of sin x is [-1,1]

sin x cos x tan x
range [-1,1] [-1,1] all real number
domain all real number all real number all real number except $\pi/2+\pi n$

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