trig equations (double angle, half angle, etc.) Flashcards by kaia glander

Q

sin(x+y)

A

sinxcosy+cosxsiny

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Q

cos(x+y)

A

cosxcosy-sinxsiny

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Q

tan(x+y)

A

1-tanxtany

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Q

sin(x-y)

A

sinxcosy-cosxsiny

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Q

cos(x-y)

A

cosxcosy+sinxsiny

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Q

tan(x-y)

A

1+tanxtany

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Q

sin(2x)

A

2sinxcosx

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Q

cos(2x)

A

cos²x-sin²x
or
1-2sin²x
or
2cos²x-1

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Q

tan(2u)

A

1-tan²x

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Q

sin(u/2)

A

± √1-cosu
————-
2

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Q

cos(u/2)

A

±√1+cosu
————
2

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Q

tan(u/2)

A

1-cosu sinu
———- or ———–
sin u 1+cosu

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Q

A

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