The number of roots of (1 - tan theta) ...

The number of roots of `(1 - tan theta) (1 + sin 2 theta) = 1 + tan theta " for " theta in [0,2 pi] ` is

A

3

B

4

C

5

D

6

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

Show that (1 - sin theta)(1 + sin theta) (1 + tan^2 theta) =1

If tan theta + sin theta = m and tan theta - sin theta = n , then

If 3 tan ^(2) theta - 2 sin theta = 0 " then " theta =

(1 + tan^2 theta)cos^2 theta =……..

(tan^2 theta)/(1 + tan^2 theta) =………...

(1+sec theta - tan theta)/(1+sec theta + tan theta)=

If (tan theta - 1)(tan^(2)theta - 3) = 0 then theta =

If tan theta + tan 2theta + tan theta tan2theta =1 then theta =

sec^(4) theta (1-sin^4 theta ) - tan^(2) theta =

Solve tan^(2) theta = 1, theta in [-pi, pi]