Evaluate : 5 sin square 30 …
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Sia ? 6 years, 6 months ago
{tex}\frac { 5 \sin ^ { 2 } 30 ^ { \circ } + \cos ^ { 2 } 45 ^ { \circ } + 4 \tan ^ { 2 } 60 ^ { \circ } } { 2 \sin 30 ^ { \circ } \cos 60 ^ { \circ } + \tan 45 ^ { \circ } }{/tex}
{tex}= \frac { 5 \times \left( \frac { 1 } { 2 } \right) ^ { 2 } + \left( \frac { 1 } { \sqrt { 2 } } \right) ^ { 2 } + 4 \times ( \sqrt { 3 } ) ^ { 2 } } { 2 \times \frac { 1 } { 2 } \times \frac { 1 } { 2 } + 1 }{/tex}
{tex}= \frac { \frac { 5 } { 4 } + \frac { 1 } { 2 } + 12 } { \frac { 3 } { 2 } }{/tex}
{tex}= \frac { 7 + 48 } { 4 \times \frac { 3 } { 2 } }{/tex}
{tex}= \frac { 55 } { 6 }{/tex}
{tex}= 9 \frac { 1 } { 6 }{/tex}
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