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C3 Trigonometry

Can't seem to find an answer for this online anywhere...

cosx + sinx = 1/3 With results from -π<x<π

Thanks
(edited 9 years ago)
Reply 1
Original post by Aarry
Can't seem to find an answer for this online anywhere...

cosx + sinx = 1/3 With results from -π<x<π

Thanks


R transformation


or


little t identities


or sine or cosine to the other side, square and solve
(careful because you will have extra solutions with this method)
Reply 2
Original post by TeeEm

little t identities

Do you mean the half-angle tan identities?
Reply 3
Original post by notnek
Do you mean the half-angle tan identities?


I think they are the same?

e.g. sinx=2t/(1+t^2) where t=tan(x/2)

I called them "little t".:smile:
Reply 4
Original post by TeeEm
I think they are the same?

e.g. sinx=2t/(1+t^2) where t=tan(x/2)

I called them "little t".:smile:

Yes I'd just never heard them being referred to as "little t" idenities but I quite like it :smile:

Much better than "Weierstrass substitution identities".
Reply 5
Original post by notnek
Yes I'd just never heard them being referred to as "little t" idenities but I quite like it :smile:

Much better than "Weierstrass substitution identities".



although I often come up with "silly" names for things, I am sure I have seen them quoted as "little t" identities in more than one source.
Reply 6
R-transformation. This is 100% without-a-doubt the "A-Level" method of solving this equation.
Original post by TeeEm
R transformation



Original post by VannR
R-transformation. This is 100% without-a-doubt the "A-Level" method of solving this equation.


Does this mean Harmonic Form?
Reply 8
Original post by TenOfThem
Does this mean Harmonic Form?


sorry, yes I call it R transformation instead of its proper name.
Reply 9
Original post by TenOfThem
Does this mean Harmonic Form?


http://www.intmath.com/analytic-trigonometry/6-express-sin-sum-angles.php

Not sure if we're talking about the same thing, though. We probably are!
Original post by VannR
http://www.intmath.com/analytic-trigonometry/6-express-sin-sum-angles.php

Not sure if we're talking about the same thing, though. We probably are!


we are :smile:
Reply 11
Thanks for the help people, much appreciated

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