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Question
If $0 < x < \pi $ and $\cos x + \sin x = {1 \over 2},$ then $\tan x$ is :
${{\left( {1 - \sqrt 7 } \right)} \over 4}$
${{\left( {4 - \sqrt 7 } \right)} \over 3}$
$ - {{\left( {4 + \sqrt 7 } \right)} \over 3}$
${{\left( {1 + \sqrt 7 } \right)} \over 4}$

Solution

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