Trig Identities Flashcards by Priscila Quiroz

Q

sin2(x) double angle

A

2sin(x)cos(x)

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Q

tan2(x) double angle

A

(2tan(x))/(1-tan^2(x))

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Q

cos2(x) double angle

A

cos^(x)-sin^2(x) = 2cos^2(x)-1 = 1-2sin^2(x)

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Q

sin^2(x) half angle

A

(1-cos2(x))

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Q

cos^2(x) half angle

A

(1+cos2(x))/2

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Q

tan^2(x) half angle

A

(1-cos(x))/sin(x) = sin(x)/(1+cos(x))

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Q

sin(x)

A

opp/hyp

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Q

cos(x)

A

adj/hyp

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Q

tan(x)

A

opp/adj = sin(x)/cos(x)

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Q

csc(x)

A

hyp/opp = 1/sin(x)

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Q

sec(x)

A

hyp/adj = 1/cos(x)

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Q

cot(x)

A

adj/opp = cos(x)/sin(x) = 1/tan(x)

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Q

sin(-x)

A

-sin(x) odd

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Q

cos(-x)

A

cos(x) even

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Q

tan(-x)

A

-tan(x) odd

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Q

sec(-x)

A

sec(x) even

Q

csc(-x)

A

-csc(x) odd

Q

cot(-x)

A

-cot(x) odd

Q

sin^2(x) +cos^2(x)

A

1

Q

tan^2(x)

A

sec^2(x) -1

Q

sec^2(x)

A

tan^2+1

Q

cot^2(x)

A

csc^2-1

Q

csc^2(x)

A

cot^2+1

Q

sin^2(x)

A

1-cos^2(x)

Q

cos^2(x)

A

1-sin^2(x)