Home
Class 11
MATHS
If theta(1),theta(2),theta(3) are thre...

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

A

`1//3`

B

1

C

3

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If theta_(1)andtheta_(2) are two values lying in [0,2pi] for which tan theta=lambda then tan (theta_(1))/(2)."tan"(theta_(2))/(2) is equal to

If "tan"theta/(2)=1/(2) , then the value of "sin"theta is

(ii)Find the value of tan(pi/4+theta)tan(pi/4-theta)

If theta=pi//4n , then the value of tan(theta) tan (2theta).....tan(2n-2)thetatan(2n-1)theta is

If tan ^(-1)(3/4)=theta , find the value of sin theta

if cos theta_(1) + cos theta_(2) + cos theta_(3)= sin theta_(1) + sin theta_(2) + sin theta_(3)= 0 , then the value of cos (theta_(1) + theta_(2)) + cos (theta_(2) + theta_(3)) + cos (theta_(3) + theta_(1)) is

If cosec theta + cot theta= 5 then the value of tan theta is equal to

If tan3theta+tantheta=2tan2theta : then theta =

(ii)Prove that tan(pi/4-theta)=(1-tan theta)/(1+tan theta)