Question

If cosecß=√2 then what is the
value of cot²ß? (with explanation)
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1.(2)
2.(1)
3.(3)
4.(√2)​

Answer 1

Answer:

2.(1)

Step-by-step explanation:

$cosec \: \beta = \sqrt{2} \\ square \: both \: sides \\ cosec \: {}^{2} \beta = 2 \\ as \: we \: know : cosec {}^{2} a - 1= cot {}^{2} a \\ 2 - 1 = cot {}^{2} \beta = 1$