Precalc Identities

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5 Terms

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Pythagorean Identities

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

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Sum/Difference Identities for COSINE

cos(A+B)=cosAcosBāˆ’sinAsinB

cos(Aāˆ’B)=cosAcosB+sinAsinB

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Sum/Difference Identities for SINE

sin(A+B)=sinAcosB+cosAsinB

sin(Aāˆ’B)=sinAcosBāˆ’cosAsinB

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Sum/Difference Identities for TANGENT

tan(A+B)= (tanA+tanB) / (1-tanAtanB)
tan(A-B)=(tanA-tanB) / (1+tanAtanB)

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Even/Odd Functions

sin(Īø) = sinĪø ā€”> ODD
tan(-Īø) = -tanĪø ā€”> ODD
cos(-Īø) = cosĪø ā€”> EVEN