Question

in a triangle abc right angled at b if sin (A - C ) = 1/2 then angle a and c respectively are​

Answer 1

b is right angle that means b=90°

from triangle

A+B+C= 180°

put value of B we get

A+C= 90°...... equation 1

from qus

sin (A-C) = 1/2

sin (A-C)= sin(30°)

comparing

A-C= 30°....... equation 2

solving eqn 1 and eqn 2

we get A= 60°

B= 30°