Question

What is the value of |sinx+cosx| if sin2x=0.44??

Answer 1

In order to find the value of |sinx+cosx| if sin2x=0.44;

firstly we need to square |sinx+cosx|  i.e.   (|sinx+cosx|)^2 = sinx^2+cosx^2+2sinxcosx  =  1 + 2sinxcosx  =  1 + sin2x  =  1 + 0.44  =  1.44

Now we are not concerned with (|sinx+cosx|)^2  but with |sinx+cosx|  so, we've to find out the square root of 1.44 = 1.2 (Ans)

Therefore the value of |sinx+cosx| = 1.2  (since it is mod so we've to consider the positive value).