Question

is it right ta say that sin (A+B)=sinA+sinB? justify your answer

Answer 1

Hi Mate!!!!!

Sin ( A + B ) = Sin ( A ) + Sin ( B ) this identity holds some times good ....like for angles A = 0°

and B = 90° . but this is not sufficient to get the generalized result of Sin ( A + B ) ....

In nutshell Sin ( A + B ) = Sin ( A ) + Sin ( B ) is absolutely wrong....

Sin ( A + B ) = Sin ( A ) Cos ( B ) + Cos ( A ) Sin ( B )


Have a nice time.

Answer 2

No,

Because if we take sinA as 30 and sinB as 60

sin (60+30)=sin 30 +sin 60

sin 90=1/√2+ √3/2

1=1.75

1≠1.75

so sin(a+b) is not equal to sina + sinb