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Question

\(\left( {\frac{{2\tan 30^\circ }}{{1 - {{\tan }^2}\;30^\circ }}} \right){\rm{}} = {\rm{}}?\)

The correct answer is

√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

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Important Questions from Circular Measure of Angles

  1. If sec 4θ = cosec (θ + 20°), then θ is equal to:

  2. The value of sin 260° cos 245° + 2 tan 260° - cosec 230° is equal to:

  3. Find the value of sin 4 30° + cos 4 30° - sin 25° cos 65° - sin 65° cos25°.

  4. Find the value of cot 25°cot 35°cot 45°cot 55°cot 65°.

  5. 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

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