(Root3-1)costheta +(root3+1)sintheta=2 find general solution
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let theta =@
now
(root3-1) cos@+(root3+1) sin@=2
root {(root3-1)^2+(root3+1)^2} cos(@-tan^-1(root3+1)/(root3-1)}=2
2root2 cos (@-5pi/12)=2
cos (@-5pi/12)=1/root2=cospi/4
use general solution of cosine
@-5pi/12=2.n.pi+_pi/4
@=2n.pi+_pi/4+5pi/12
where n is integers
now
(root3-1) cos@+(root3+1) sin@=2
root {(root3-1)^2+(root3+1)^2} cos(@-tan^-1(root3+1)/(root3-1)}=2
2root2 cos (@-5pi/12)=2
cos (@-5pi/12)=1/root2=cospi/4
use general solution of cosine
@-5pi/12=2.n.pi+_pi/4
@=2n.pi+_pi/4+5pi/12
where n is integers
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