यदि `pisintheta=1,picostheta=1` हो, तो `{sqrt(3)tan((2)/(3)theta)+1}` का मान क्या होगा ?

Options

A. 1
B. `sqrt(3)`
C. 2
D. `(1)/(sqrt(3))`

Answer

c

Explanation

`pi sin theta=1` ......(i)
`pi cos theta=1` .....(ii)
divide eq (i) from (ii)
`(pi sin theta)/(pi cos theta)=(1)/(1)`
`tan theta=1=tan45`
`theta=45`
`therefore sqrt(3)tan((2)/(3)theta)+1`
`=sqrt(3)tan(45xx(2)/(3))+1`
`sqrt(3)(1)/sqrt(3)+1=2`