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cot16^0cot44^0+cot44^0cot76^0-cot76^0cot...

`cot16^0cot44^0+cot44^0cot76^0-cot76^0cot16^0=` 1 (b) 2 (c) 3 (d) 4

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Verified by Experts

The correct Answer is:
3
Value of cot …………
`cot 16^(@)cot44^(@)`……….
`(tan76^(@)+tan16^(@)-tan44^(@))/(tan16^(@)tan44^(@)tan76^(@))`
`= (3tan48^(@))/(tan48^(@)) = 3`
`(cos16cos44)/(sin16.sin44)-1+(cos44.cos76)/(sin44sin76)`
Aliter
`-1-(cos76cos16)/(sin76.sin16)-1+3`
`= (cos60)/(sin16.sin44)+(cos120)/(sin44sin76) - (cos60)/(sin76.sin16)+3`
`=(1)/(2)((sin76-sin16)/(sin16.sin44.sin76))-(1)/(2sin76.sin16)+3=3`.
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