Cota coseca 1 cota coseca 1 1 cosa sina
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Cot A +cosecA-1 /cotA-cosecA+1 =1+cosA/sinA
Answered by admin @
=cot A + cosecA - 1/cotA-cosec A+1=1+cos A/sin A
=first put the value of 1 in the numerator in terms of cosec^2 -cot^2=1.
so,
=cotA + cosec A -(cosec^2 A -cot^2)/
cotA-cosecA+1.
now take the common in the numerator
=cotA+cosec -(1 +cotA - cosecA)/1+cotA-cosecA.
= cotA+cosecA.
= cosA/sinA+ 1/sinA
so,
cosA+1/sinA=cosA+sinA .
hence proved.
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