Question

In an acute angle ∆ABC if sin2(A+B-C)=1 and tan (B+C-A)=√3,then find the value of A,B,C

Answer 1

the value of A is60
Bis 75
C is 45

Answer 2

Hi Mate ! ! !

We know that sum of angles of a trangle is = 180

A + B + C = 180...... equation 1


Sin2 ( A + B - C ) = Sin ( 90 )


because sin ( 90 ) = 1



A + B - C = 45 ..... equation 2



Tan ( B + C - A ) = Tan (60)

because Tan (60 ) = √3



B + C - A = 60 ...... equation 3


Now solve these equation to get value of A , B and C