if cosA-SinA =1 then prove that cosA+sinA=±1
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Answered by
3
on squaring both side
sin2+cos2-2sincos =1
-2sincos =1-1
sincos =-0
2sincos = 0
on adding 1 both sides
sin2 +cos2+2sincos =1
(sin+cos)^2=1
sin +cos =root 1 =+-1
sin2+cos2-2sincos =1
-2sincos =1-1
sincos =-0
2sincos = 0
on adding 1 both sides
sin2 +cos2+2sincos =1
(sin+cos)^2=1
sin +cos =root 1 =+-1
Answered by
1
Refer the attachment for the solution.
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