if cosec A - cot A = √2 cot A then prove that cosec A - cot A = √2cosec A
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Step-by-step explanation:
cosecA - cotA = √2tt
=>cosecA = √2cotA + cotA
=>cosecA = cotA(√2+1)
=>cosecA/√2+1 = cotA
=>cosecA/√2+1 × √2-1/√2-1 = cotA
=>cosecA×√2-1/2-1 = cotA
By rationalizing
=>√2cosecA - cosecA /1 = cotA
=>√2cosecA - cosecA = cotA
=>√2cosecA = cotA + cosecA
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