حاصل هریک از نسبت های مثلثاتی زیر را مطابق نمونه به دست آورید.
\(\begin{array}{l}\tan \frac{{2\pi }}{3} = \tan \left( {\pi - \frac{\pi }{3}} \right) = - \tan \frac{\pi }{3} = - \sqrt 3 \\\cos \frac{{3\pi }}{4} = \cos \left( {............} \right) = .................\\\sin {120^\circ } = \sin \left( {{{180}^\circ } - ......} \right) = ................. = .................\\\cot \left( { - {{120}^\circ }} \right) = - \cot \left( {...........} \right) = - \cot \left( {{{180}^\circ } - .......} \right) = ..............\\\cos \left( {{{135}^\circ }} \right) = ................. = ................. = .................\end{array}\)
\(\begin{array}{l}\tan \frac{{2\pi }}{3} = \tan \left( {\pi - \frac{\pi }{3}} \right) = - \tan \frac{\pi }{3} = - \sqrt 3 \\\cos \frac{{3\pi }}{4} = \cos \left( {\pi - \frac{\pi }{4}} \right) = - \cos \frac{\pi }{4} = - \frac{{\sqrt 2 }}{2} \\\sin {120^\circ } = \sin \left( {{{180}^\circ } - {{60}^ \circ }} \right) = \sin {60^ \circ } = \frac{{\sqrt 3 }}{2}\\\cot \left( { - {{120}^\circ }} \right) = - \cot \left( {{{120}^ \circ }} \right) = - \cot \left( {{{180}^\circ } - {{60}^ \circ }} \right) = \cot {60^ \circ } = \frac{{\sqrt 3 }}{3}\\\cos \left( {{{135}^\circ }} \right) = \cos \left( {{{180}^ \circ } - {{45}^ \circ }} \right) = - \cos {45^ \circ } = - \frac{{\sqrt 2 }}{2}\end{array}\)