Unit 7: Formulas Review Flashcards

1
Q

sin2(x) + cos2(x) =

A

1

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2
Q

tan2(x) + 1 =

A

sec2(x)

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3
Q

1 + cot2(x) =

A

csc2(x)

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4
Q

sin(-x) =

A
  • sin(x)
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5
Q

cos(-x) =

A

cos(x)

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6
Q

tan(-x) =

A

-tan(x)

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7
Q

sin (π/2 - x) =

A

cos (x)

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8
Q

tan (π/2 - x) =

A

cot (x)

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9
Q

cos (π/2 - x) =

A

sin (x)

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10
Q

sin (s + t) =

A

cos(t)sin(s) + cos(s)sin(t)

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11
Q

cos (s + t) =

A

cos(s)cos(t) - sin(s)sin(t)

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12
Q

tan (s+t) =

A

(tan(s) + tan(t)) / (1-tan(s)tan(t))

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13
Q

Asin(x) + Bcos(x) =

A

ksin(x + Φ)
where k = √A2 + B2
and Φ satisfies:
cosΦ = A/k
sinΦ = B/k

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14
Q

sin(2x) =

A

2sin(x)cos(x)

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15
Q

cos(2x) =

A

cos2(x) - sin2(x)
OR 1 - 2sin2(x)
OR 2cos2(x) - 1

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16
Q

tan(2x)

A

2tan(x) / 1-tan2(x)

17
Q

sin2(x)

A

1-cos(2x)/2

18
Q

cos2(x) =

A

1+cos(2x)/2

19
Q

tan2(x)

A

1-cos(2x)/1+cos(2x)

20
Q

sin (u/2) =

A

+-√1-cos(u) / 2

21
Q

cos(u/2) =

A

+-√1+cos(u)/2

22
Q

tan(u/2)

A

1-cos(u)/sin(u)