Home
Class 12
MATHS
In any triangle ABC b^2 sin 2C+c^2 sin 2...

In any triangle `ABC b^2 sin 2C+c^2 sin 2B` is equal to

A

`Delta`

B

`2Delta`

C

`3Delta`

D

`4Delta`

Text Solution

Verified by Experts

The correct Answer is:
D
`c^(2)sin2B+b^(2)sin2C`
`=c^(2)(2sinBcosB)+b^(2)(2sinC cosC)`
`=2c^(2)((2Delta)/(ac)"cos"B)+2b^(2)((2Delta)/(ab)"cos"C)`
`=4Delta((c cosB+b cosC)/(a))=4Delta((a)/(a))=4Delta`
Promotional Banner

Similar Questions

Explore conceptually related problems

In any triangle ABCb^(2)sin2C+c^(2)sin2B is equal to

In triangle ABC, b^(2) sin 2C + c^(2) sin 2B = 2bc where b = 20, c = 21 , then inradius =

If A, B, C are the angles of a triangle, then sin 2A + sin 2B - sin 2C is equal to

If Delta denotes the area of DeltaABC , then b^(2) sin 2C + c^(2) sin 2B is equal to

In any triangle ABC, if sin A , sin B, sin C are in AP, then the maximum value of tan ""B/2 is

In any triangle ABC,sin^(2)A-sin^(2)B+sin^(2)C is always equal to (A) 2sin A sin B cos C(B)2sin A cos B sin C(C)2sin A cos B cos C(D)2sin A sin B sin C

In triangle ABC,the value of sin2A+sin2B+sin2C is equal to

In Delta ABC,b^(2)sin2C+c^(2)sin2B=