Question

Sec²60⁰-cot²30⁰-2tan30⁰cosec60⁰÷1+tan²30⁰

Answer 1

$\huge\tt{\bold{\underline{\underline{Question᎓}}}}$Sec²60⁰-cot²30⁰-2tan30⁰cosec60⁰÷1+tan²30⁰

$\huge\tt{\bold{\underline{\underline{Answer᎓}}}}$

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Before solving take a look into trigonometric table :

$= > Sec²60⁰-cot²30⁰-2tan30⁰cosec60⁰÷1+tan²30⁰$

$= > {(2)}^{2} - {( \sqrt{3} )}^{2} - 2( { \sqrt{3}) }^{2} (2) \div 1 + {( \sqrt{3} )}^{2}$

$= > 4 - 3 - 2(3)(2) \div 1 + 3$

$= > 1 - 12 \div 4$

$1 - \frac{12}{4} = 1 - 3 = - 2$

$= - 2$

-2 is your answer

$\bold{\underline{\underline{Note:}}}$ Not defined means 0 comes as denominator so we called it Not Defined (ND)

There are four cases of Not Defined

e.g.->Cosec0°,Cot0°,Tan90° & Sec90°

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