1.

If `alpha+theta=(7pi)/(12)andtantheta=sqrt(3)`, then the value of `tan alpha` is:A. `(1)/(sqrt(3))`B. 0C. `sqrt(3)`D. 1

Answer» Correct Answer - d
`alpha+theta=(7pi)/(12)` ..........(i)
`tan theta=sqrt(3)`
`tan theta=tan60^(@)`
`tan theta=tan 60^(@)`
`theta=60^(@)`
Put value in equation (i)
`a+60^(@)=(7)/(12)xx180^(@)`
`alpha=105^ (@)-60^(@)`
`alpha=45^(@)`
`tan alpha=tan45^(@)=1`


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