If sin A - cos A is equal to 1/2 then find the value of one upon sin a + cos A

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Solution

Sin theta - cos theta = 1/2
(sin theta - cos theta)²= sin²theta +cos²theta -2cos theta . sin theta

1/4 = 1 -2cos theta . sin theta
2 cos theta . sin theta= 1- 1/4 = 3/4

(sin theta +cos theta)²= sin² theta + cos²theta +2sin theta . cos theta
= 1+ 3/4 = 7/4
Therefore, sin theta + cos theta = √(7/4)

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Similar questions

If sinA - cos A = 1/2, then find the value of 1/(sinA+cosA)

sin A + cos A = \sqrt{2}

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A

0^{o} \leq A \leq 90^{o})

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