If sin A + sin B + sin C+ 3 = 0, then find the value of cos A + cos B + cos C + 10
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Answer:
Step-by-step explanation:
if sinA+sinB+sinC=3 ,
then cosA+cosB+cosC=?
sinA+sinB+sinB=1+1+1
or,
(sinA-1)+(sinB-1)+(sinC-1)=0………..(1)
Comparing the both sides of .(equation ....1)
(sinA-1)=0. => sinA= 1 or A=90°
(sinB-1)=0 => sinB=1 or B=90°
(sinC-1)=0. => sinC=1 or C=90°.
Now cosA+cosB+cosC=?
Putting. A=B=C=90°
=cos90°+cos90°+cos90°
=0+0+0
= 0
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