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# what will be the value of cot(sin(inverse)(1/3))

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what will be the value of cot(sin(inverse)(1/3))

Guest Nov 20, 2014

#1
+92254
+10

let      $$\theta=sin^{-1}(1/3)$$

$$cot\theta=\sqrt{8}=2\sqrt2$$

But $$sin\theta>0$$    so  theta could be in the 1st otr second quadrant so

$$cot\theta=\pm2\sqrt2$$

$$cot(sin^{-1}(1/3))=\pm2\sqrt2$$

Melody  Nov 20, 2014
Sort:

#1
+92254
+10

let      $$\theta=sin^{-1}(1/3)$$

$$cot\theta=\sqrt{8}=2\sqrt2$$

But $$sin\theta>0$$    so  theta could be in the 1st otr second quadrant so

$$cot\theta=\pm2\sqrt2$$

$$cot(sin^{-1}(1/3))=\pm2\sqrt2$$

Melody  Nov 20, 2014

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