Home
Class 12
MATHS
In a A B C , if tan(A/2),tan(B/2),tan(C...

In a ` A B C ,` if `tan(A/2),tan(B/2),tan(C/2)` are in AP, then show that `cosA ,cosB ,cosC` are in `AdotPdot`

Text Solution

Verified by Experts

The correct Answer is:
`cos B -cos A =cos C-cos B.`
Promotional Banner

Similar Questions

Explore conceptually related problems

If a,b,c are in AP and a^(2),b^(2),c^(2) are in HP, then

If tan(A+B)=p and tan(A-B)=q , then show that tan2A=(p+q)/(1-pq) .

If any triangle ABC, a=18,b=24,c=30 cosA,cosB,cosC

If 3tan A tan B=1, prove that 2cos(A+B)=cos(A-B)dot

In triangle A B C , if cotA ,cotB ,cotC are in AdotPdot, then a^2,b^2,c^2 are in ____________ progression.

If tanA=(1)/(2)andtanB=(1)/(3) , then tan(2A+B) is equal to

The value of tan3A-tan2A-tanA is

If 2tan^(-1)(costheta)=tan^(-1)(2cosectheta) , then show that theta=pi/4 .

If tan3A=(3 tan A+k tan^(3)A)/(1-3 tan^(2)A) , then k is equal to

In DeltaABC,(b+c)/(11)=(c+a)/(12)=(a+b)/(13) then prove that (cosA)/(7)=(cosB)/(19)=(cosC)/(25) .