If in DeltaABC,2b^(2)=a^(2)+c^(2),"then ...

If in `DeltaABC,2b^(2)=a^(2)+c^(2),"then "(sin3B)/(sinB)`=

A

(a) `(c^(2)-a^(2))/(2ca)`

B

(b) `(c^(2)-a^(2))/(ca)`

C

(c) `((c^(2)-a^(2))/(ca))^(2)`

D

(d) `((c^(2)-a^(2))/(2ca))^(2)`

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

If in a DeltaABC,a^(2)cos^(2)A-b^(2)-c^(2)=0 , then

If in DeltaABC,a^(4)+b^(4)+c^(4)=2a^(2)(b^(2)+c^(2)) , then angleA is

In DeltaABC,1-tan.(A)/(2)tan.(B)/(2)=

In DeltaABC,tan.(A)/(2)+tan.(B)/(2) =

In DeltaABC," if "a=16,b=24andc=20,"then "cos.(B)/(2)=

In DeltaABC,cot.(A+B)/(2).tan.(A-B)/(2) =

In triangleABC, (sinB)/(sin(A+B)) =

In DeltaABC , if sin^(2)A+sin^(2)B=sin^(2)C and l(AB)=10, then the maximum value of the area of DeltaABC is

In any DeltaABC , prove that ("sin(A-B)")/("sin(A+B)")=((a^(2)-b^(2)))/c^(2)

In DeltaABC,(a-b)^(2)cos^(2).(C)/(2)+(a+b)^(2)sin^(2).(C)/(2) =