`(1-tan (theta/2))/(tan(theta/2))`

Show that (1+tan .theta/2)/(1-tan. theta/2)=(1+sintheta)/(cos theta)=tan(pi/4+theta/2)

If sum_(n-1)^(2013)"tan"(theta/(2^n))s e c(theta/(2^(n-1)))=tan(theta/(2^a))-tan(theta/(2^b)) then (b+a) equals (a)2014 (b) 2012 (c) 2013 (d) 2014

(i) The points (-1, 0), (4, -2) and (cos 2theta, sin 2 theta) are collinear (ii) The points (-1,0), (4, -2) and ((1-tan^(2)theta)/(1+tan^(2)theta),(2tan theta)/(1+tan^(2)theta)) are collinear

Find the sum n terms of seires tan theta+1/2tan(theta/2 )+1/(2^2)tan(theta/(2^2))+1/(2^3)tan(theta/(2^3))+....

If theta_1,theta_2,theta_3 are the three values of thetain[0,2pi] for which tantheta=lambda then the value of tan(theta_1)/3tan(theta_2)/3+tan(theta_2)/3tan(theta_3)/3+tan(theta_3)/3tan(theta_1)/3 is equal to

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

Prove: tan (45 ^(@) - theta ) =(1 - tan theta)/( 1 + tan theta)

If theta_1 and theta_2 are two values lying in [0,2pi] for which t a ntheta=lambda, then tan((theta_1)/2)tan((theta_2)/2) is equal to (a)0 (b) -1 (c) 2 (d) 1

Prove the identity ((1-tan theta)/(1-cot theta))^(2)=tan^(2)theta

Prove that (tan^2 (2theta)-tan^2 theta)/(1-tan^2 (2theta) tan^2 theta)=tan (3theta)tan theta