If theta(1),theta(2),theta(3) are three ...

If `theta_(1),theta_(2),theta_(3)` are three values lying in `[0,2pi)` for which `tan theta = lambda`, then the value of `tan((theta_(1))/(3))tan((theta_(2))/(3))+tan((theta_(2))/(3))tan((theta_(3))/(3))+tan((theta_(3))/(3))tan((theta_(1))/(3))` is

Verified by Experts

The correct Answer is:

3

Similar Questions

Explore conceptually related problems

It tan theta+cottheta=5 ,then the value of tan^(2)theta+cot^(2)theta is:

If tan theta+cottheta=2 ,then find the value of tan^(2)theta+cot^(2)theta

If tan theta = -4/3 , then sin theta is :

If sin theta =cos theta ,then the value of 2tan theta+cos^(2)theta is:

If sec theta + tan theta = p , find the value of cosec theta .

Find the value of (cosec^(2) theta - 1) tan^(2) theta .

Solve tan theta + tan 2 theta + tan theta * tan 2 theta =1

If 5tan theta =12 ,then (13sintheta)/(3) is:

If tan theta + cot theta =2 , find the value of sqrt(tan^(2) theta + cot^(2) theta) .

The tangent to the curve y=x^(3)+1 at(1, 2) makes an angle theta with y-axis, then the value of tan theta is