Home
Class 11
MATHS
If cos A+cos B=1/2 and sin A +sin B=1/4...

If ` cos A+cos B=1/2` and `sin A +sin B=1/4` then prove that `tan ((A+B)/2)=1/2`.

Promotional Banner

Similar Questions

Explore conceptually related problems

If cos A+sin B=m and Sin A+cos B=n ,then prove that 2sin (A+B)=m^2+n^2-2 .

If A+B=pi/4 ,prove that (1+tan A)(1+tan B)=2

In a ∆ ABC prove that cos ((A+B)/2) = sin (c/2) .

In a ∆ ABC prove that sin( (A+B)/2) = COS (c/2) .

If a cos theta +bsin theta=x and a sin theta-b cos theta = y then prove that a^2+b^2=x^2+y^2

If A + B + C= 1 80^@ and sin(A+C/2)=n sin (C/2) ,show that tan(A/2)tan(B/2)=(n-1)/(n+1)

If A,B,C are the interior angles of ABC, then prove that cos((A+B)/2)=sin(C/2) .

If 7 sin^2theta + 3 cos^2 theta = 4, then prove that tantheta = 1/sqrt(3)

If 2 tan A = 3 tan B.show that tan (A - B)= (sin2B)/(5-cos2B)

If cos (A + B) sin (C + D)= cos (A - B) sin (C- D), prove that tanAtanBtanC = tanD