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Trigonometric Functions — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsTrigonometric Functions2 Marks
MCQ
In a triangle ABC , if $a =2, B=60^{\circ}$ and $C =75^{\circ}$, then $b=$
  • A
    $\sqrt{3}$
  • ✓
    $\sqrt{6}$
  • C
    $\sqrt{9}$
  • D
    $1+\sqrt{2}$
✓

Answer

Correct option: B.
$\sqrt{6}$
(B) $B =60^{\circ}, C =75^{\circ}$
$\Rightarrow A =180^{\circ}-60^{\circ}-75^{\circ}=45^{\circ}$
By sine rule,
$\frac{b}{\sin B}-\frac{a}{\sin A} \Rightarrow \frac{b}{\sin 60^{\circ}}-\frac{2}{\sin 45^{\circ}} \Rightarrow b-\sqrt{6}$

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