Trig Identities Flashcards

1
Q

Pythagorean identities

A

sin^2θ + cos^2θ = 1

tan^2θ +1 = sec^2θ

1 + cot^2θ = csc^2θ

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2
Q

tan(A+-B) =

A

tanA+-tanB / 1+-tanAtanB

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3
Q

sin2θ =

A

2sinθcosθ

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4
Q

cos2θ =

A

cos^2θ - sin^2θ
OR
2cos^2θ - 1
OR
1-2sin^2θ

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5
Q

tan2θ =

A

2tanθ / (1 - tan^2θ)

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6
Q

tanθ =

A

sinθ / cosθ

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7
Q

cotθ =

A

1 / tanθ

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8
Q

cscθ =

A

1 / sinθ

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9
Q

secθ =

A

1 / cosθ

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10
Q

What trig functions are even or odd?

A

sin and tan are odd
cos is even

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11
Q

cos (A+-B) =

A

cosAcosB-+sinAsinB

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12
Q

sin(A+-B) =

A

sinAcosB+-cosAsinB

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