Show that tan 225- 405-tan 675- 315-2

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Trigonometric Ratios of Compound Angles

Show that tan...

Question

Show that tan225°.cot405°+tan675°.cot315°=2

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tan 225^{\circ} cot 405^{\circ} + tan 765^{\circ} cot 675^{\circ}

Find the value of $s i n 210^{\circ} + c o s 120^{\circ} + t a n 225^{\circ} + c o t 315^{\circ} + s e c 300^{\circ} + c o s e c 150^{\circ}$ .

\frac{16}{\sqrt{50} \sqrt{6}} = \frac{16}{5 \sqrt{2} \sqrt{6}} = \frac{8 \sqrt{3}}{15}

\sin \frac{8 π}{3} \cos \frac{23 π}{6} + \cos \frac{13 π}{3} \sin \frac{35 π}{6} = \frac{1}{2}

\frac{1}{2}

\tan \frac{11 π}{3} - 2 \sin \frac{4 π}{6} - \frac{3}{4} {cosec}^{2} \frac{π}{4} + 4 \cos^{2} \frac{17 π}{6} = \frac{3 - 4 \sqrt{3}}{2}

3 \sin \frac{π}{6} \sec \frac{π}{3} - 4 \sin \frac{5 π}{6} \cot \frac{π}{4} = 1

\frac{1}{4}

\frac{1}{2}

\frac{1}{2}

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