Sin theta +cos theta if sin theta - cos theta = 0.5
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sin-cos = 0.5 = 1/2
(sin-cos)^2 = 1/4
sin^2 + cos^2 - 2sincos = 1/4
1 - 2sincos = 1/4
2sincos = 1 - 1/4
2sincos = 3/4...(1)
(sin+cos)^2 = sin^2 + cos^2 +2sincos
(sin+cos)^2 = 1 + 2sincos
(sin+cos)^2 = 1+ 3/4 (from 1)
(sin+cos)^2 = 7/4
Taking Square Root on both sides
sin + cos = √7/2.
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