Q60 / 160 · AP EAMCET 2022 (07 Jul Shift 1) · Mathematics

$1+\cot ^2 30^{\circ}-\sec ^2 45^{\circ}=$

  • A
    $\frac{1}{4}$
  • B
    $\frac{1-\sqrt{3}}{2}$
  • Correct answer
    C
    $2$
  • D
    $0$

Solution

$1+\cot ^2 30^{\circ}-\sec ^2 45^{\circ}=1+(\sqrt{3})^2-(\sqrt{2})^2=2$

Hence, the correct answer is option: 'C'.

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