Identities Flashcards by Moksha Saripilli

Q

what is the opp of sinO

A

cosecO = 1/ sinO = hyp/opp

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Q

what is the opp of cosO

A

secO = 1/cosO = hyp/adj

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Q

what is the opp of tanO

A

cotO = 1/tanO = cosO/sinO

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Q

state the identity in terms of sin and cos

A

sin^2O + cos^2O = 1

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Q

state the identity in terms of tan and sec

A

1 + tan^2O = sec^2O

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Q

state the identity in terms of cot and cosec

A

1 + cot^2O = cosec^2O

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Q

what is the compound angle identity of sin(A+B)

A

sinAcosB + cosAsinB

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Q

what is the compound angle identity of sin(A-B)

A

sinAcosB - cosAsinB

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Q

what is the compound angle identity of cos(A+B)

A

cosAcosB - sinAsinB

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Q

what is the compound angle identity of cos(A-B)

A

cosAcosB + sinAsinB

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Q

what is the compound angle identity of tan(A+B)

A

(tanA+tanB)/(1-tanAtanB)

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Q

what is the compound angle identity of tan(A-B)

A

(tanA-tanB)/(1+tanAtanB)

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Q

what is the double angle identity of sin2A

A

2sinAcosA

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Q

what are the 3 double angle identities of cos2A

A

2cos^2A - 1= 1 - 2sin^2A = cos^2A - sin^2A

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Q

what is the double angle identity of tan2A

A

(2tanA)/(1 - tan^2A)

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