trig identities Flashcards by sigma 123

Q

3 Pythagorean trig identities

A

sin²θ+cos²θ=1
1 + tan²θ = sec²θ
1 + cot²θ = cosec²θ

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Q

compound angle identity for sin(A+B)

A

= sinAcosB + cosAsinB

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Q

compound angle identity for cos(A+B)

A

=cosAcosB - sinAsinB

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Q

compound angle identity for tan(A+B)

A

= tan(A + B) = (tan A + tan B) / (1- tan A
tan B)

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Q

double angle identity for sin(2A)

A

= 2sinAcosA

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Q

3 double angle identity for cos(2A)

A

= cos²A - sin²A
= 2cos²A - 1
= 1 - 2sin²A

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Q

double angle identity for tan(2A)

A

= (2tanA) / (1 - tan²A)

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Q

Co-function identity

A

sinA=cos(90-A)
cosA=sin(90-A)

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