Prove that cosec4theta-cosec2theta=cot2theta+cot4theta.
Note:2 and 4 are the powers.
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=> 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
+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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