Question

If sin theta = 1/3 then find the value of ( 2 cot square theta +2

Answer 1

Answer:18

Sin theta =1/3=opp/hyp

Adj side =√8(by pytagorus theorem)

Therefore

2(√8) ^2+2=18

Answer 2

Answer:

$Value \:of \:(2cot^{2}\theta+2)=18$

Step-by-step explanation:

$Given\:sin\theta =\frac{1}{3}\:---(1)$

$Value \:of \:(2cot^{2}\theta+2)\\=2(cot^{2}\theta+1)\\=2\times cosec^{2}\theta\\=2\times\frac{1}{sin^{2}\theta}\\=2\times \frac{1}{\left(\frac{1}{3}\right)^{2}}\\=2\times 3^{2}\\=2\times 9\\=18$

Therefore,

$Value \:of \:(2cot^{2}\theta+2)=18$

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