Question

in triangle ABC, a²sin2C+c²sin2A =?​

Answer 1

Step-by-step explanation:

Given In triangle ABC, a²sin2C+c²sin2A =?

• So we have a^2 sin 2C + c^2 sin 2A
• We can write this as
•                 2a. (a sin C) cos c + 2c (c sin A) cos A
•         We have a/sinA = b/sin B = c / sin C
•              So we have a sin C = c sin A
•         So 2a c sin A cos C + 2c. A sin C .cos A
•           Taking 2ac as common we get
•       So 2ac. Sin (A + C)
•                          Now in any triangle sum of angles = 180
•                                             So  A + B + C = π
•                                            Or A + C = π – B
•        So 2ac. Sin (π – B)
•                Or 2ac. Sin B
•           We can write this as  
•                   2 x 2 x ½ ac sin B
•                         4 Δ

Reference link will be

https://brainly.in/question/1942105