Question

Cot²30 +cosec30+3tan²30 is equal to

Answer 1

Answer:

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Answer 2

SOLUTION

TO EVALUATE

cot²30° + cosec 30° + 3tan²30°

EVALUATION

Here the given expression is

cot²30° + cosec 30° + 3tan²30°

We calculate the value as below

cot²30° + cosec 30° + 3tan²30°

$\displaystyle \sf{ = {( \sqrt{3} )}^{2} + 2 + 3 \times { \bigg( \frac{1}{ \sqrt{3} } \bigg)}^{2} }$

$\displaystyle \sf{ = 3 + 2 + { \bigg(3 \times \frac{1}{3} \bigg)}^{} }$

$\displaystyle \sf{ = 3 + 2 + 1 }$

$\displaystyle \sf{ =6 }$

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