Trig identities Flashcards

1
Q

Pythagorean identity

A

sin^2 x + cos^2 x = 1

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2
Q

Pythagorean identity w/ tan

A

tan^2 x + 1 = sec^2 x

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3
Q

Pythagorean identity w/ cot

A

1 + cot^2 x = csc^2 x

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4
Q

Addition formula for sin

A

sin(a + b) = sin a cos b + cos a sin b

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5
Q

subtraction formula for sin

A

sin(a - b) = sin a cos b - cos a sin b

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6
Q

addition formula for cos

A

cos(a + b) = cos a cos b - sin a sin b

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7
Q

subtraction formula for cos

A

cos(a - b) = cos a cos b + sin a sin b

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8
Q

addition formula for tan

A

tan(a + b) = (tan a + tan b) / (1 - tan a tan b)

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9
Q

subtraction formula for tan

A

tan(a + b) = (tan a - tan b) / (1 + tan a tan b)

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