Question

If sinA+sinB=2,then which of the following is the value of sin(A+B) ? a)2 b)0 c)1 d)-1

Answer 1

since maximum value of sin is 1 we get sinA and sinB both as 1 which gives A=B=90 sin180=-1

Answer 2

There is only one possibility that sinA+ sinB =2

if SinA=1 and SinB =1
.˙. A=B=90°
son(A+B)= sin(90+90)= sin 180°= 0


thus, option B is correct