Question

what is the value of 2sin theta if sin +cos =1​

Answer 1

Answer and step-by-step explanation:

(sin theta + cos theta)^2 = (1)^2
sin^2 theta+ cos^2 theta + 2sin theta cos theta = 1
1+2 sin theta cos theta = 1
2sin theta cos theta = 0
so either,
sin theta = 0 or
cos theta = 0.
If sin theta = 0 then 2sin theta = 0
If cos theta = 0 then
either sin theta = 1 or -1
so at sin theta = 1, 2 sin theta = 2(1)= 2
and if sin theta = -1, 2 sin theta = 2(-1) = -2


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