If `alpha+theta=(7pi)/(12)andtantheta=sqrt(3)`, then the value of `tan alpha` is:

Options

A. `(1)/(sqrt(3))`
B. 0
C. `sqrt(3)`
D. 1

Answer

d

Explanation

`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`