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Trig identities
1.
cotx= (quotient identity)
2.
Answer
3.
sinxcosx=
4.
Answer
5.
tan(x/2)= (half
angle identity)
6.
Answer
7.
tan(x+y)= (sum identity)
8.
Answer
9.
sin(x+y)= (sum identity)
10.
=sinxcosy+sinycosx Answer
11.
cos(2x)= (double angle
identity)
12.
=cos 2 x-sin
2 x (main-others are found using Pythagorean Identities) =2cos 2 x-1 =1-2sin 2 x Answer
13.
sin(x/2)= (half
angle identity)
14.
Answer
15.
sinx= (reciprocal identity)
16.
Answer
17.
cot 2 x=
(Pythagorean identity)
18.
=csc 2 x-1
Answer
19.
tanx= (reciprocal identity)
20.
Answer
21.
cos(x+y)= (sum identity)
22.
=cosxcosy-sinxsiny Answer
23.
sin(x-y)= (difference identity)
24.
=sinxcosy-sinycosx Answer
25.
sin 2 x=
(Pythagorean identity)
26.
=1-cos 2 x
Answer
27.
cos(x/2)= (half
angle identity)
28.
Answer
29.
tanx= (quotient identity)
30.
Answer
31.
tan 2 x+1=
(Pythagorean identity)
32.
=sec 2 x
Answer
33.
tan(2a)= (double angle
identity)
34.
Answer
35.
cos(x-y)= (difference identity)
36.
=cosxcosy+sinxsiny Answer
37.
sin(2x)= (double angle
identity)
38.
=2sinxcosx Answer
39.
tan(x-y)= (difference identity)
40.
Answer
41.
cosx= (reciprocal identity)
42.
Answer
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