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Trigonometry – II — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsTrigonometry – II2 Marks
MCQ
$\tan75^{\circ}-\cot75^{\circ}=$
  • ✓
    $2\sqrt{3}$
  • B
    $2+\sqrt{3}$
  • C
    $2-\sqrt{3}$
  • D
    $-2\sqrt{3}$
✓

Answer

Correct option: A.
$2\sqrt{3}$
(A)
$\tan75^{\circ}-\cot75^{\circ}$
$=\tan\left(90^{\circ}-15^{\circ}\right)-\cot75^{\circ}$
$=\cot15^{\circ}-\cot75^{\circ}$
$=(2+\sqrt{3})-(2-\sqrt{3})$
$=2\sqrt{3}$

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