Trigonomic Identities Final Review Flashcards

0
Q

Sin(90’ - theta)

A

Cos theta

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1
Q

What are the Pythagorean identities

A

Sin^2theta + cos^2theta = 1

1 + tan^2theta = sec^2theta

1 + cot^2theta = csc^2theta

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2
Q

Sin2x

A

= 2sinxcosx

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3
Q

1 + tan^2 theta

A

Sec^2 theta

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4
Q

Sin(A+B)

A

sinAcosB + cosAsinB

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5
Q

Sin x/2

A

= +_ square root of (1 - cos x / 2 )

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6
Q

Tan (90’ - theta)

A

Cot theta

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7
Q

Cos2x

A

= 2cos^2x - 1

= cos^2x - sin^2x

= 1 - sin^2x

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8
Q

1 + cot^2 theta

A

= csc^2 theta

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9
Q

Cos x / 2

A

= +_ square root of ( 1 + cosx / 2 )

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10
Q

Sec (90’ - theta)

A

Csc theta

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11
Q

Tan2x

A

= 2 tanx / 1 - tan^2 x

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12
Q

Sin^2 + cos^2

A

= 1

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13
Q

sin(A-B)

A

sinAcosB - cosAsinB

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14
Q

Cos(A-B)

A

cosAcosB + sinAsinB

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15
Q

Cos(A+B)

A

cosAcosB - sinAsinB

16
Q

Tan x / 2

A

= 1 - cosx / sinx

= sinx / 1 + cosx

17
Q

Tan (A+B)

A

= tanA + tanB
—————
1 - tanAtanB

18
Q

Tan (A-B)

A

= tanA - tanB
—————
1 + tanAtanB