If (sinx+cosx=a), then 1+2sinxcosx=a2
False
We are given sinx+cosx=a. We have to check if 1+2sinxcosx=a2. For that,
(sinx+cosx)2 = a2
sin2x+cos2x+2sinxcosx = a2
1+2sinxcosx = a2
Hence, if (sinx+cosx=a), then 1+2sinxcosx=a2
Given sinx - cosx = 12.
If 2sinxcosx = a, find the value of 16a.