Help me with the 13 question or part
If sin (A+B)...................
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Answered by
1
your question is
if A=60, verify that 1/2 sina=sin(a/2) ×cos(a/2)
1/2sin60=sin30×cos30
1/2 ×√3/2=1/2×√3/2
√3/4=√3/4
hence ,proved
if A=60, verify that 1/2 sina=sin(a/2) ×cos(a/2)
1/2sin60=sin30×cos30
1/2 ×√3/2=1/2×√3/2
√3/4=√3/4
hence ,proved
nishant45:
is it correct
Answered by
1
A=60
RHS=sinA/2 cosA/2
=sin60/2 cos 60/2
=sin30 cos 30
=1/2(root3/2)
=root3/2
hence LHS=RHS
I HOPE IT IS CLEAR
2nd question
sin(A+B)=sinA cosB +cosA sinB
sin(45+30)=sin45 cos30 +cos45 sin30
=(1/root2)(root3/2) +
(1/root2)(1/2)
=root3/2root2 +
1/2root2
=root3+1/2root2
RHS=sinA/2 cosA/2
=sin60/2 cos 60/2
=sin30 cos 30
=1/2(root3/2)
=root3/2
hence LHS=RHS
I HOPE IT IS CLEAR
2nd question
sin(A+B)=sinA cosB +cosA sinB
sin(45+30)=sin45 cos30 +cos45 sin30
=(1/root2)(root3/2) +
(1/root2)(1/2)
=root3/2root2 +
1/2root2
=root3+1/2root2
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