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sinx +cosx=1 find solution of this equation . and send me as soon as [ossible .

sinx +cosx=1
find solution of this equation . and send me as soon as [ossible .

Grade:12

2 Answers

Deepak Kumar Shringi
askIITians Faculty 4407 Points
4 years ago
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Subhash Kumar Mehta
100 Points
4 years ago
Sinx+cosx=1
(1+1)1/2=(2)1/2
Now devide both side by (2)1/2
we get
(Sunx/root2)+(cosx/root2)=1/root2
》1/root2*sinx+1/root2*cosx=1/root2
》sin45*sinx+cos45*cosx=cos45
》cos(45+x)=cos45
So 45+x=2npi+45 or 2npi-45
This is the solution

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