Trigonometry Flashcards by Josh Connor

Q

2pi

A

360 degrees

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Q

pi

A

180 degrees

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Q

pi/2

A

90 degrees

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Q

pi/3

A

60 degrees

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Q

pi/4

A

45 degrees

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Q

pi/6

A

30 degrees

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Q

sin theta (small angle approx)

A

theta

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Q

cos theta (small angle approx)

A

(1 - theta^2) / 2

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Q

tan theta (small angle approx)

A

theta

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Q

sin30

A

1/2

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Q

cos30

A

root3 / 2

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Q

tan30

A

1 / root3

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Q

sin60

A

root3 / 2

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Q

cos60

A

1 / 2

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Q

tan60

A

root3

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Q

sin45

A

1/ root2

Q

cos45

A

1 / root2

Q

tan45

A

1

Q

tan theta definition

A

sin theta / cos theta

Q

cosec x

A

1/sinx

Q

sec x

A

1/cosx

Q

cotx

A

1/tanx

Q

sinx co-function

A

cos(90-x)

Q

cosx co-function

A

sin(90-x)

Q

Pythagorean identities

A

sin^2 x + cos^2 x = 1

1 + tan^2 x = sec^2 x

1 + cot^2 x = cosec^2 x

Q

sin(A+-B)

A

sinAcosB +- sinBcosA

Q

cos(A+-B)

A

cosAcosB -+ sinAsinB

Q

tan(A+-B)

A

(tanA +- tanB) / (1 -+ tanAtanB)

Q

sin2x

A

2sinxcosx

Q

cos2x

A

2 cos^2 x - 1 OR 1 - 2 sin^2 x OR cos^2 x - sin^2 x

Q

tan2x

A

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

Q

sin^2 x (Double angle)

A

1/2 - 1/2 cos2x

Q

cos^2 x (Double angle)

A

1/2 + 1/2 cos 2x

Q

If Rcosx = a, Rsinx = b:

A

R = root(a^2 + b^2), tanx = b/a