ΔXYZ is right angled at Y. If m∠Z = 45°, then find the value of $$\left( {{\text{cosecX}} - \frac{2}{{\sqrt 3 }}} \right) = ?$$
A. $$\frac{{2 - \sqrt 3 }}{{2\sqrt 3 }}$$
B. $$\frac{{1 - \sqrt 6 }}{{\sqrt 2 }}$$
C. $$\frac{{\sqrt 6 - 2}}{{\sqrt 3 }}$$
D. $$ - \frac{1}{{\sqrt 3 }}$$
Answer: Option C
Solution (By Examveda Team)
$$\eqalign{ & {\text{cosec X}} - \frac{2}{{\sqrt 3 }} \cr & = \frac{{\sqrt 2 x}}{x} - \frac{2}{{\sqrt 3 }} \cr & = \sqrt 2 - \frac{2}{{\sqrt 3 }} \cr & = \frac{{\sqrt 6 - 2}}{{\sqrt 3 }} \cr} $$
This Question Belongs to Arithmetic Ability >> Circular Measurement Of Angle
Related Questions on Circular Measurement of Angle
If 0 ≤ θ ≤ $$\frac{\pi }{2}$$ and sec2θ + tan2θ = 7, then θ is
A. $$\frac{{5\pi }}{{12}}$$ radian
B. $$\frac{\pi }{3}$$ radian
C. $$\frac{\pi }{6}$$ radian
D. $$\frac{\pi }{2}$$ radian
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