Question

if cosec A - cot A = √2 cot A then prove that cosec A - cot A = √2cosec A
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Answer 1

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