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Answered by
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Step-by-step explanation:
cosec^4©-cot^4©=cosec^2©+cot^2©
use
a^4-b^4= (a^2)^2-(b^2)^2
(a^2+b^2)(a^2-b^2)
so
(cosec^2©+cot^2©)(cosec^2©-cot^2©)=(cosec^2©+Cot^2©)
cosec^2©-cot^2©=1
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Answered by
1
Answer:
LHS = cosec4 theta - cosec2 theta
= cosec2 theta (cosec2 theta-1)
= cosec2 theta * cot2 theta
= (1+cot2 theta) cot2 theta
= cot2 theta + cot4 theta
∴ LHS = RHS
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