Trigonometry Flashcards by Dalton Keel

Q

sin(x)

A

opp/hyp

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Q

csc(x)

A

hyp/opp

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Q

cos(x)

A

adj/hyp

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Q

sec(x)

A

hyp/adj

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Q

tan(x)

A

opp/adj

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Q

cot(x)

A

adj/opp

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Q

sin(pi/4)

A

sqrt(2)/2

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Q

sin(pi/6)

A

1/2

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Q

sin(pi/3)

A

sqrt(3)/2

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Q

cos(pi/4)

A

sqrt(2)/2

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Q

cos(pi/6)

A

sqrt(3)/2

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Q

cos(pi/3)

A

1/2

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Q

tan(pi/4)

A

1

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Q

tan(pi/6)

A

sqrt(3)/3

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Q

tan(pi/3)

A

sqrt(3)

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Q

Identity of: csc(x)

A

1/sin(x)

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Q

Identity of: sec(x)

A

1/cos(x)

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Q

Identity of: cot(x)

A

1/tan(x)

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Q

Identity of: tan(x)

A

sin(x)/cos(x)

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Q

Identity of: cot(x)

A

cos(x)/sin(x)

Q

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

A

1

Q

tan^2(x) + 1

A

sec^2(x)

Q

1 + cot^2(x)

A

csc^2(x)

Q

sin(-x)

A

-sin(x)

Q

cos(-x)

A

cos(x)

Q

sin(x + 2pi)

A

sin(x)

Q

cos(x + 2pi)

A

cos(x)

Q

sin(x + y)

A

sin(x)cos(y) + cos(x)sin(y)

Q

cos(x + y)

A

cos(x)cos(y) - sin(x)sin(y)

Q

sin(x - y)

A

sin(x)cos(y) - cos(x)sin(y)

Q

cos(x - y)

A

cos(x)cos(y) + sin(x)sin(y)

Q

tan(x + y)

A

(tan(x) + tan(y))/(1 - tan(x)tan(y))

Q

tan(x - y)

A

(tan(x) - tan(y))/(1 + tan(x)tan(y))

Q

Double Angle: sin(2x)

A

2sin(x)cos(x)

Q

Double Angle: cos(2x)

A

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

Q

For cos: cos(2x)

A

2cos^2(x) - 1

Q

For sin: cos(2x)

A

1 - 2sin^2(x)

Q

Half-angle: cos^2(x)

A

(1 + cos(2x))/2

Q

Half-angle: sin^2(x)

A

(1 - cos(2x))/2

Q

sin(x)cos(x)

A

1/2[sin(x + y) + sin(x - y)]

Q

cos(x)cos(y)

A

1/2[cos(x + y) + cos(x - y)]

Q

sin(x)sin(y)

A

1/2[cos(x - y) - cos(x + y)]

Q

D: sin(x) and cos(x)

A

(-inf, inf)

Q

R: sin(x) and cos(x)

A

[-1,1]

Q

D: tan(x) and cot(x)

A

(-inf, inf)

Q

R: tan(x) and cot(x)

A

(-inf, inf)

Q

D: csc(x) and sec(x)

A

(-inf, inf)

Q

R: csc(x) and sec(x)

A

(-inf, -1] U [1, inf)