sin theta into cos theta is equal to cos theta

Dear student, 

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what is long division
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SinA×cotA=cosA
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Please find this answer

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Dear student , 
Your answer is given below :-

sinϴxcosϴ=cosϴ ---(1)
Sinϴ = cosϴ/cosϴ
sinϴ=1

On putting this value in (1) , we get 
1xcosϴ=cosϴ
cosϴ=cosϴ
L.H.S=R.H.S 
Hence , proved.

Alternately ,
Sinϴxcosϴ=cosϴ
sinϴ=cosϴ/cosϴ
sinϴ=1
sinϴ=sin90
ϴ=90 
so,
sin90xcos90=cos90
1x0=0   {As sin 90 = 1 and cos 90 = 0 }
0=0 
L.H.S=R.H.S
Hence, proved.

Hope it helps :)
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