Question

Find the Ф(thita) cosФ - sinФ/ cos Ф + sinФ=1-√3÷ 1+√3
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Answer 1

$\frac{(1 - \sqrt{3} )}{(1 + \sqrt{3)} } \\ divide \: by \: 2 \\ \frac{ \frac{1}{2} - \frac{ \sqrt{3} }{2} }{ \frac{1}{2} + \frac{ \sqrt{3} }{2} } \\ compare \: with \: \\ \frac{ \cos( \alpha ) - \sin( \alpha ) }{ \cos( \alpha ) + \sin( \alpha ) } \\ \cos( \alpha ) = \frac{1}{2} \\ \sin( \alpha ) = \frac{ \sqrt{3} }{2} \\ \alpha = 60$
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