Trigonometry Flashcards

R = sin / cos (x-a)

1
Q

a sin x + b cos x = R sin (x+alfa)
If -, then -.

a cos x + b sin x = R cos (x-alfa)
If-, then+.

A

R = root (a square + b square)

R sin alfa = b
R cos alfa = a
Tan alfa = b/a.

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2
Q

1 + tan square x

1 + cot square x

A

Sec square x

Cosec square x

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3
Q

Cos 2x

A

1-2sin square x
2cos square x-1
Cos square x - sin square x

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4
Q

Tan 2x

Tan (a+b) or minus

A

2 tan x / 1- tan square x

Tan a + tan b / 1 - tan a tan b
Change + to - and - to +.

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5
Q

Sin (a+b) or minus

Cos (a+b) or minus

A

Sin a cos a + cos b sin b

Cos a cos b - sin a sin b

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