trigonometric identities

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17 Terms

1

RECIPROCAL: sin θ

1/cscθ

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2

RECIPROCAL: cos θ

1/secθ

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3

RECIPROCAL: tan θ

1/cotθ

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4

RECIPROCAL: cotθ

1/tanθ

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5

RECIPROCAL: cscθ

1/sinθ

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6

RECIPROCAL: secθ

1/cosθ

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7

PYTHAGOREAN TAN

tan²θ + 1 = sec²θ

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8

PYTHAGOREAN SIN

sin²θ + cos²θ = 1

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9

PYTHAGOREAN COT

cot²θ + 1 = csc²θ

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10

SUM/DIFFERENCE SIN

sin(a ± b) = sin a cos b ± cos a sin b

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11

SUM/DIFFERENCE COS

cos(a ± b) = cos a cos b ∓ sin a sin b

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12

SUM/DIFFERENCE TAN

tan(a ± b) = (tan a ± tan b) / (1 ∓ tan a tan b)

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13

sin(2θ)

= 2 sin θ cos θ

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14

COS AND SIN: cos(2θ)

cos² θ - sin² θ

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15

COS AND 1: cos(2θ)

2cos² θ - 1

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16

SIN AND 1: cos(2θ)

1- 2sin² θ

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17

tan(2θ)

2tanθ / (1 - tan² θ)

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