prove cosec^6=cot^6+3cot^2cosec^2+1 answer fast to get poi ts let's see who is real maths genius
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RHS,
cot=1/sec
and, cot=cos/sin
cosec=1/sin
(cos/sin)^6+ 3(cos/sin)^2 * 2(1/sin)^2 +1
LCM
{cos^6+sin^3*(3cos^2)×2(sin^3)+sin^6}/sin^6
{cos^6+(3sin^3cos^2)(2sin^3) + sin ^6}/sin^6
cos^6+ 6sin^6 ×cos^2 + sin^6/sin^6
=cos^6+sin^6=1
so 1/sin^6
=cosec^6
cot=1/sec
and, cot=cos/sin
cosec=1/sin
(cos/sin)^6+ 3(cos/sin)^2 * 2(1/sin)^2 +1
LCM
{cos^6+sin^3*(3cos^2)×2(sin^3)+sin^6}/sin^6
{cos^6+(3sin^3cos^2)(2sin^3) + sin ^6}/sin^6
cos^6+ 6sin^6 ×cos^2 + sin^6/sin^6
=cos^6+sin^6=1
so 1/sin^6
=cosec^6
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