If sin A + sin B = C, cos A + cos B = D, then the value of sin (A + B) = ?
Answers
Answered by
3
Answer:
Wehave
sinA+sinB=C,
and
cosA+cosB=D
Now,
(sinA+sinB)
2
=sin
2
A+2sinAsinB+sin
2
B=C
2
And,(cosA+cosB)
2
=cos
2
A+2cosAcosB+cos
2
B=D
2
Byaddingthemweget
1+2(sinAsinB+cosAcosB)=C
2
+D
2
or, sin(A+B)=
2
C
2
+D
2
−1.
Step-by-step explanation:
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Answered by
4
Answer:
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Step-by-step explanation:
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