The-value-of-3-cosec-20-sec-20-is-equal-to-

Question Number 15207 by arnabpapu550@gmail.com last updated on 08/Jun/17

The value of \sqrt{3} cosec 20 ° - \sec 20 ° is

equal to____.

Answered by mrW1 last updated on 08/Jun/17

\frac{\sqrt{3}}{\sin 20 °} - \frac{1}{\cos 20 °} = \frac{\sqrt{3} \cos 20 ° - \sin 20 °}{\sin 20 ° \cos 20 °}

= \frac{4 (\frac{\sqrt{3}}{2} \cos 20 ° - \frac{1}{2} \sin 20 °)}{2 \sin 20 ° \cos 20 °}

= \frac{4 (\cos 30 ° \cos 20 ° - \sin 30 ° \sin 20 °)}{\sin 40 °}

= \frac{4 \cos 50 °}{\sin 40 °}

= \frac{4 \sin 40 °}{\sin 40 °}

= 4

Commented by arnabpapu550@gmail.com last updated on 08/Jun/17

Thank you sir .