1/sin10^∘ √(3)/cos10^∘=2 ( 1/2cos10^∘ √(3)/2sin10^∘ )/sin10^∘.cos10^∘=2sin ( 30^∘ 10^∘ )/1/2sin20^∘=4 ...

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Trigonometric Ratios of Compound Angles

1/sin10∘-√3/c...

Question

$\frac{1}{s i n 10^{\circ}} - \frac{\sqrt{3}}{c o s 10^{\circ}}$ =

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Solution

The correct option is D 4
$\frac{1}{s i n 10^{\circ}} - \frac{\sqrt{3}}{c o s 10^{\circ}} = \frac{2 (\frac{1}{2} c o s 10^{\circ} - \frac{\sqrt{3}}{2} s i n 10^{\circ})}{s i n 10^{\circ} . c o s 10^{\circ}} = \frac{2 s i n (30^{\circ} - 10^{\circ})}{\frac{1}{2} s i n 20^{\circ}} = 4$

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Similar questions

\frac{c o s 10^{\circ} + s i n 10^{\circ}}{c o s 10^{\circ} - s i n 10^{\circ}}

\frac{1}{sin 10^{\circ}} - \frac{\sqrt{3}}{cos 10^{\circ}} = 4

\frac{1}{sin 10^{\circ}} - \frac{\sqrt{3}}{cos 10^{\circ}} = 4

\frac{1}{sin 10^{\circ}} - \frac{\sqrt{3}}{cos 10^{\circ}}

\frac{1}{sin 10} - \frac{\sqrt{3}}{cos 10} = 2

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