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Trig identities

1.

cos2x+sin2x

1

2.

acosx+bsinx

√(a2+b2)cos(x-arctan(b/a))

3.

cosxcosy+sinxsiny

cos(x+y)

4.

cosxcosy+sinxsiny

cos(x-y)

5.

cos1/2x

±√[1/2(1+cosx)]

6.

2cos2x-1

cos2x

7.

cos2x-sin2x

cos2x

8.

1-2sin2x

cos2x

9.

cot(90º-x)

tanx

10.

cosx/sinx

cotx

11.

cot2x+1

csc2x

12.

csc(-x)

-cscx

13.

sec(-x)

sec x

14.

sin 1/2 x

±√[1/2(1-cosx)]

15.

2sinxcosx

sin2x

16.

tan(90º-x)

cot

17.

(1-cosx)/sinx

tan1/2x

18.

sinx/cosx

tanx

19.

(2tanx)/(1-tan2x)

tan2x

20.

tan2x+1

sec2x

21.

cos(x− y)

cos x cos y + sin x sin y

22.

cos(x+ y)

cosxcos y-sin x sin y