The value of cosec sec 10° is equal to [2026]

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Solution

Q.
The value of cosec $10^{o} - \sqrt{3}$ sec 10° is equal to [2026]

1 2

2 4

3 6

4 8

Ans.
(2)

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

$= \frac{\cos 10 ° - \sqrt{3} \sin 10 °}{\sin 10 ° \cos 10 °}$

$= 4 [\frac{\frac{1}{2} \cos 10 ° - \frac{\sqrt{3}}{2} \sin 10 °}{2 \sin 10 ° \cos 10 °}]$

$= 4 [\frac{\sin (30 ° - 10 °)}{\sin 20 °}]$

$= 4$

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