If sin α + cos α =1.2, find sin α · cos α .

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10-10-2020
Mathematics

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If sin α + cos α =1.2, find sin α · cos α .

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supriya81 supriya81 · Answer 1 · 2020-10-10T15:53:11+02:00

supriya81 supriya81

10-10-2020

sina+cosa=1.2
Squaring on both sides we get,
(Sina)^2+2sina.cosa+(cosa)^2=1.44
(sina)^2+(cosa)^2+2sina.cosa=1.44
1+2sina.cosa=1.44
2sina.cosa=1.44-1
2sina.cosa=0.44
sina.cosa=0.22

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