Cos 30°+sin60°÷1+sin 30°+cos 60°

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Sia ? 6 years, 7 months ago
{tex}\frac { \cos 30 ^ { \circ } + \sin 60 ^ { \circ } } { 1 + \sin 30 ^ { \circ } + \cos 60 ^ { \circ } }{/tex}
{tex}= \frac { \frac { \sqrt { 3 } } { 2 } + \frac { \sqrt { 3 } } { 2 } } { 1 + \frac { 1 } { 2 } + \frac { 1 } { 2 } } = \frac { \sqrt { 3 } } { 2 }{/tex}
{tex}\Rightarrow\cos 30 ^ { \circ } = \frac { \sqrt { 3 } } { 2 }{/tex}
Hence, {tex}\frac { \cos 30 ^ { \circ } + \sin 60 ^ { \circ } } { 1 + \sin 30 ^ { \circ } + \cos 60 ^ { \circ } } = \cos 30 ^ { \circ }{/tex}
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