Find the value of (tan²30°)/(sec²30°)+(cosec²45°)/(cot²45°)-(sec²60°)/(cosec²60°) .

Find the value of (tan²30°)/(sec²30°)+(cosec²45°)/(cot²45°)…

Find the value of $\frac{tan^230°}{sec^230°}+\frac{cosec^245°}{cot^245°}-\frac{sec^260°}{cosec^260°}$ .

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Correct answer: A

Explanation

The correct answer is Option 1 i.e $-\frac34$ .

$\frac{tan^230°}{sec^230°}+\frac{cosec^245°}{cot^245°}-\frac{sec^260°}{cosec^260°}$

= ${\dfrac{1}{3}\over\dfrac{4}{3}}+\dfrac{2}{1}-\dfrac{4}{\dfrac{4}{3}}$

= $\dfrac{1}{4}+2-3=-\dfrac34$