Question

A=60 B=30
sin(a+b)=sin a cos b + cos a sin b

Answer 1

Answer:

1

Step-by-step explanation:

a=60 b=30

l.h.s

sin(a+b)=sin(60+30)

sin 90=1

r.h.s

sin a cos b + cos a sin b

sin 60 cos 30 + cos 60 sin 30

root 3/2 * root 3/2 + 1/2 *1/2

3/4 +1/4

4/4

=1

l.h.s =r.h.s

hence proved...

Answer 2

Answer:

Step-by-step explanation:

sin 60 = root 3/2 and cos 30 =root3/2

cos60 = sin30 = 1/2

sin (60+30) = sin 60*cos30 + cos60* sin30

sin90 = root3/2* root3/2 + 1/2+1/2

sin90 = 3/4+1/4

sin90= 4/4

(sin90 = 1)

1 = 1 . hence proved