Question

A=30, B=60, verify that sin(A+B)= SinA . CosB + CosA . SinB​

Answer 1

Answer:

LHS:

sin90=1

RHS:

1/2*1/2 + ✓3/2*✓3/2

1/4+3/4

4/4

=1

LHS=RHS

HENCE VERIFICATION IS DONE ✅

Answer 2

$\huge ✿\bf\ \red{Answer}$

A = 60 and B = 30

Now, A + B = 60 + 30 = 90

Also, A B = 60 - 30 = 30

sin (A + B) = sin 90 = 1

sin A cos B + cos A sin B = sin 60 cos 30+ cos 60 sin 30

= √3 ⠀×⠀√3 + ⠀⠀ 1 ⠀ ×⠀⠀1 ⠀= ⠀3 ⠀ + 1

⠀⠀2⠀⠀⠀⠀2⠀⠀⠀⠀2⠀⠀⠀⠀2⠀⠀⠀4⠀⠀ 4⠀

⠀

= 1

⠀⠀

∴ sin (A + B) = sin A cos B + cos A sin B.