Trig Flashcards

(12 cards)

1
Q

Reciprocal of cos ?

A

1/sec

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2
Q

Reciprocal of sin ?

A

1/cosec

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3
Q

Reciprocal of tan ?

A

1/Cot

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4
Q

What are the Pythagorean identities?

A

Sin^2 + cos^2 = 1

1+ cot^2 = cosec^2 ( divide by sin^2)

1+ tan^2 = sec^2 (divide by cos^2 )

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5
Q

Addition formula -
Sin (a+b)

A

Sina.cosb + cosa.sinb

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6
Q

Addition formulae -

Cos (a+b )

A

Cosa.Cosb- sina.sinb

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7
Q

Addition formulae -
Tan (a+b )

A

tanA + tanB / 1 - tanA . Tan B

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8
Q

Harmonic identity : process ?

A
  • Set up using the addition formulae
  • use Pythagoras to find R
  • divide to find tan a , then a
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9
Q

Double angle formulae :

Sin2ø

A

2sinøcosø

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10
Q

Double angle formulae :

Cos2ø

A

Cos^2ø - Sin^2ø
can be further written as -
2cos^2ø -1 and 1-2sin^2ø

Cos comes first

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11
Q

Double angle formulae :
Tan 2ø

A
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12
Q
A
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