Trig identities
-
Upload
tschmucker -
Category
Business
-
view
7.884 -
download
2
description
Transcript of Trig identities
![Page 1: Trig identities](https://reader033.fdocuments.net/reader033/viewer/2022061205/54806432b4af9f917f8b45f1/html5/thumbnails/1.jpg)
cotx=
(quotient identity)
![Page 2: Trig identities](https://reader033.fdocuments.net/reader033/viewer/2022061205/54806432b4af9f917f8b45f1/html5/thumbnails/2.jpg)
x
x
sin
cos
Answer
![Page 3: Trig identities](https://reader033.fdocuments.net/reader033/viewer/2022061205/54806432b4af9f917f8b45f1/html5/thumbnails/3.jpg)
sinxcosx=
![Page 4: Trig identities](https://reader033.fdocuments.net/reader033/viewer/2022061205/54806432b4af9f917f8b45f1/html5/thumbnails/4.jpg)
x2sin2
1
Answer
![Page 5: Trig identities](https://reader033.fdocuments.net/reader033/viewer/2022061205/54806432b4af9f917f8b45f1/html5/thumbnails/5.jpg)
tan(x/2)=
(half angle identity)
![Page 6: Trig identities](https://reader033.fdocuments.net/reader033/viewer/2022061205/54806432b4af9f917f8b45f1/html5/thumbnails/6.jpg)
2tan1
2tan2
2 x
x
Answer
![Page 7: Trig identities](https://reader033.fdocuments.net/reader033/viewer/2022061205/54806432b4af9f917f8b45f1/html5/thumbnails/7.jpg)
tan(x+y)=
(sum identity)
![Page 8: Trig identities](https://reader033.fdocuments.net/reader033/viewer/2022061205/54806432b4af9f917f8b45f1/html5/thumbnails/8.jpg)
yx
yx
tantan1
tantan
Answer
![Page 9: Trig identities](https://reader033.fdocuments.net/reader033/viewer/2022061205/54806432b4af9f917f8b45f1/html5/thumbnails/9.jpg)
sin(x+y)=
(sum identity)
![Page 10: Trig identities](https://reader033.fdocuments.net/reader033/viewer/2022061205/54806432b4af9f917f8b45f1/html5/thumbnails/10.jpg)
=sinxcosy+sinycosx
Answer
![Page 11: Trig identities](https://reader033.fdocuments.net/reader033/viewer/2022061205/54806432b4af9f917f8b45f1/html5/thumbnails/11.jpg)
cos(2x)=
(double angle identity)
![Page 12: Trig identities](https://reader033.fdocuments.net/reader033/viewer/2022061205/54806432b4af9f917f8b45f1/html5/thumbnails/12.jpg)
=cos2x-sin2x (main-others are found using Pythagorean Identities)
=2cos2x-1=1-2sin2x
Answer
![Page 13: Trig identities](https://reader033.fdocuments.net/reader033/viewer/2022061205/54806432b4af9f917f8b45f1/html5/thumbnails/13.jpg)
sin(x/2)=
(half angle identity)
![Page 14: Trig identities](https://reader033.fdocuments.net/reader033/viewer/2022061205/54806432b4af9f917f8b45f1/html5/thumbnails/14.jpg)
2cos
2sin2
xx
Answer
![Page 15: Trig identities](https://reader033.fdocuments.net/reader033/viewer/2022061205/54806432b4af9f917f8b45f1/html5/thumbnails/15.jpg)
sinx=
(reciprocal identity)
![Page 16: Trig identities](https://reader033.fdocuments.net/reader033/viewer/2022061205/54806432b4af9f917f8b45f1/html5/thumbnails/16.jpg)
xcsc
1
Answer
![Page 17: Trig identities](https://reader033.fdocuments.net/reader033/viewer/2022061205/54806432b4af9f917f8b45f1/html5/thumbnails/17.jpg)
cot2x=
(Pythagorean identity)
![Page 18: Trig identities](https://reader033.fdocuments.net/reader033/viewer/2022061205/54806432b4af9f917f8b45f1/html5/thumbnails/18.jpg)
=csc2x-1
Answer
![Page 19: Trig identities](https://reader033.fdocuments.net/reader033/viewer/2022061205/54806432b4af9f917f8b45f1/html5/thumbnails/19.jpg)
tanx=
(reciprocal identity)
![Page 20: Trig identities](https://reader033.fdocuments.net/reader033/viewer/2022061205/54806432b4af9f917f8b45f1/html5/thumbnails/20.jpg)
xcot
1
Answer
![Page 21: Trig identities](https://reader033.fdocuments.net/reader033/viewer/2022061205/54806432b4af9f917f8b45f1/html5/thumbnails/21.jpg)
cos(x+y)=
(sum identity)
![Page 22: Trig identities](https://reader033.fdocuments.net/reader033/viewer/2022061205/54806432b4af9f917f8b45f1/html5/thumbnails/22.jpg)
=cosxcosy-sinxsiny
Answer
![Page 23: Trig identities](https://reader033.fdocuments.net/reader033/viewer/2022061205/54806432b4af9f917f8b45f1/html5/thumbnails/23.jpg)
sin(x-y)=
(difference identity)
![Page 24: Trig identities](https://reader033.fdocuments.net/reader033/viewer/2022061205/54806432b4af9f917f8b45f1/html5/thumbnails/24.jpg)
=sinxcosy-sinycosx
Answer
![Page 25: Trig identities](https://reader033.fdocuments.net/reader033/viewer/2022061205/54806432b4af9f917f8b45f1/html5/thumbnails/25.jpg)
sin2x=
(Pythagorean identity)
![Page 26: Trig identities](https://reader033.fdocuments.net/reader033/viewer/2022061205/54806432b4af9f917f8b45f1/html5/thumbnails/26.jpg)
=1-cos2x
Answer
![Page 27: Trig identities](https://reader033.fdocuments.net/reader033/viewer/2022061205/54806432b4af9f917f8b45f1/html5/thumbnails/27.jpg)
cos(x/2)=
(half angle identity)
![Page 28: Trig identities](https://reader033.fdocuments.net/reader033/viewer/2022061205/54806432b4af9f917f8b45f1/html5/thumbnails/28.jpg)
2sin21
12
cos2
2sin
2cos
2
2
22
x
x
xx
Answer
![Page 29: Trig identities](https://reader033.fdocuments.net/reader033/viewer/2022061205/54806432b4af9f917f8b45f1/html5/thumbnails/29.jpg)
tanx=
(quotient identity)
![Page 30: Trig identities](https://reader033.fdocuments.net/reader033/viewer/2022061205/54806432b4af9f917f8b45f1/html5/thumbnails/30.jpg)
x
x
cos
sin
Answer
![Page 31: Trig identities](https://reader033.fdocuments.net/reader033/viewer/2022061205/54806432b4af9f917f8b45f1/html5/thumbnails/31.jpg)
tan2x+1=
(Pythagorean identity)
![Page 32: Trig identities](https://reader033.fdocuments.net/reader033/viewer/2022061205/54806432b4af9f917f8b45f1/html5/thumbnails/32.jpg)
=sec2x
Answer
![Page 33: Trig identities](https://reader033.fdocuments.net/reader033/viewer/2022061205/54806432b4af9f917f8b45f1/html5/thumbnails/33.jpg)
tan(2a)=
(double angle identity)
![Page 34: Trig identities](https://reader033.fdocuments.net/reader033/viewer/2022061205/54806432b4af9f917f8b45f1/html5/thumbnails/34.jpg)
x
x2tan1
tan2
Answer
![Page 35: Trig identities](https://reader033.fdocuments.net/reader033/viewer/2022061205/54806432b4af9f917f8b45f1/html5/thumbnails/35.jpg)
cos(x-y)=
(difference identity)
![Page 36: Trig identities](https://reader033.fdocuments.net/reader033/viewer/2022061205/54806432b4af9f917f8b45f1/html5/thumbnails/36.jpg)
=cosxcosy+sinxsiny
Answer
![Page 37: Trig identities](https://reader033.fdocuments.net/reader033/viewer/2022061205/54806432b4af9f917f8b45f1/html5/thumbnails/37.jpg)
sin(2x)=
(double angle identity)
![Page 38: Trig identities](https://reader033.fdocuments.net/reader033/viewer/2022061205/54806432b4af9f917f8b45f1/html5/thumbnails/38.jpg)
=2sinxcosx
Answer
![Page 39: Trig identities](https://reader033.fdocuments.net/reader033/viewer/2022061205/54806432b4af9f917f8b45f1/html5/thumbnails/39.jpg)
tan(x-y)=
(difference identity)
![Page 40: Trig identities](https://reader033.fdocuments.net/reader033/viewer/2022061205/54806432b4af9f917f8b45f1/html5/thumbnails/40.jpg)
yx
yx
tantan1
tantan
Answer
![Page 41: Trig identities](https://reader033.fdocuments.net/reader033/viewer/2022061205/54806432b4af9f917f8b45f1/html5/thumbnails/41.jpg)
cosx=
(reciprocal identity)
![Page 42: Trig identities](https://reader033.fdocuments.net/reader033/viewer/2022061205/54806432b4af9f917f8b45f1/html5/thumbnails/42.jpg)
xsec
1
Answer