cosec ^4 theta - cosec^2 theta = cot ^4 theta + cot^2 theta
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let theta = x
cosec4x - cosec2x
(cosec2x)2 - ( 1 + cot2x)
( 1 + cot2x)2 - 1 - cot2x
1 + cot4x + 2cot2x - 1 - cot2x
cot4x + cot2x = RHS.........
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Answer:
hope it helps
Step-by-step explanation:=> cosec 4 theta - cosec 4 theta = cot 2 theta
+cot 4 theta
=> 1+ cot 4 theta -1+cot 2 theta = cot 2 theta +cot 4 theta ( because :-cosec 4 theta = 1+cot 4 theta & cosec 2 theta = cot 2 theta )
=> cot 4 theta + cot 2 theta = cot 2 theta + cot 4 theta
hence proved
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