Explain why this simplifies

  • #1
ok, i have this and know what it should simplify to, but why?

(1-sin(x))(sin(x))-(cos(x))(0-cos(x))


i know it simplifies to

1-sin(x)

but my book doesnt explain what exactly happens. could someone please shed some light and explain what exactly happens
 

Answers and Replies

  • #2
Defennder
Homework Helper
2,591
5
I think you mistyped something. It doesn't simplify to that. Try for example x =pi/4.
 
  • #3
atyy
Science Advisor
14,003
2,285
I think you mistyped something. It doesn't simplify to that. Try for example x =pi/4.
I'm parsing his message as:

(1-sinx)(sin2x+cos2x)

Does that make sense?

Edit: No, I misread!
 
  • #4
thats what i kept seeing.

i see it simplifies to one.

the answer in the book shows the answer i previously gave over (1-sinx)^2

then the final answer being

1 over (1-sinx)
 
  • #5
[(1-sinx)(-sinx)-cosx(0-cosx)]/(1-sinx)^2

then
(1-sinx)/(1-sinx)^2

then the final being
(1)/(1-sinx)


PS sorry for the double posting
 
  • #6
Defennder
Homework Helper
2,591
5
[(1-sinx)(-sinx)-cosx(0-cosx)]/(1-sinx)^2
That minus sign, which was absent in your original post, makes the whole world of difference. To simplify, just expand the numerator out and apply a trigo identity.
 

Related Threads on Explain why this simplifies

Replies
4
Views
1K
  • Last Post
Replies
3
Views
879
Replies
3
Views
824
Replies
2
Views
2K
Replies
2
Views
454
Replies
4
Views
1K
  • Last Post
Replies
12
Views
887
  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
2
Views
728
  • Last Post
Replies
6
Views
1K
Top