\(\left( {\frac{{2\tan 30^\circ }}{{1 - {{\tan }^2}\;30^\circ }}} \right){\rm{}} = {\rm{}}?\)
√3
Important Trigonometric Values

Calculation:
\(\Rightarrow \left( {\frac{{2\tan 30^\circ }}{{1 - {{\tan }^2}\;30^\circ }}} \right){\rm{}} = {\rm{}}\frac{{2{\rm{}} \times {\rm{}}\frac{1}{{\surd 3}}}}{{1{\rm{}} - \frac{1}{3}}}{\rm{}} = {\rm{}}\frac{2}{{\surd 3}}{\rm{}} \times {\rm{}}\frac{3}{2}\)
⇒ √3
∴ √3
If sec 4θ = cosec (θ + 20°), then θ is equal to:
The value of sin 260° cos 245° + 2 tan 260° - cosec 230° is equal to:
Find the value of sin 4 30° + cos 4 30° - sin 25° cos 65° - sin 65° cos25°.
Find the value of cot 25°cot 35°cot 45°cot 55°cot 65°.
The value of
\(\frac{2 \sin^2 30° \tan 60°-3 \cos^2 60° \sec^2 30°}{4\cot^2 45°-\sec^2 60°+ \sin^2 60°+\cos^2 90°}\) is