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Evaluate 3tan²30+tan 60th+cosec30-tan45/////////cot²45

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Evaluate 3tan²30+tan 60th+cosec30-tan45/////////cot²45

Posted by Praful Gite 6 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 5 months ago

{tex}=\frac { 3 \tan ^ { 2 } 30 ^ { \circ } + \tan ^ { 2 } 60 ^ { \circ } + cosec 30 ^ { \circ } - \tan 45 ^ { \circ } } { \cot ^ { 2 } 45 ^ { \circ } }{/tex}
{tex}= \frac { 3 \times \left( \frac { 1 } { \sqrt { 3 } } \right) ^ { 2 } + ( \sqrt { 3 } ) ^ { 2 } + 2 - 1 } { ( 1 ) ^ { 2 } }{/tex}
{tex} = \frac { 3 \times \frac { 1 } { 3 } + 3 + 2 - 1 } { 1 }{/tex}
{tex}=1+3+2-1{/tex}

{tex}=6-1{/tex}

{tex}=5{/tex}

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