Trigonometrical Ratios for Some Special Angles
Category : JEE Main & Advanced
| \[\theta \] | \[7\frac{{{1}^{o}}}{2}\] | \[{{15}^{o}}\] | \[22\frac{{{1}^{o}}}{2}\] | \[{{18}^{o}}\] | \[{{36}^{o}}\] |
| \[\sin \,\theta \] | \[\frac{\sqrt{4-\sqrt{2}-\sqrt{6}}}{2\sqrt{2}}\] | \[\frac{\sqrt{3}-1}{2\sqrt{2}}\] | \[\frac{1}{2}\sqrt{2-\sqrt{2}}\] | \[\frac{\sqrt{5}-1}{4}\] | \[\frac{1}{4}\sqrt{10-2\sqrt{5}}\] |
| \[\cos \theta \] | \[\frac{\sqrt{4+\sqrt{2}+\sqrt{6}}}{2\sqrt{2}}\] | \[\frac{\sqrt{3}+1}{2\sqrt{2}}\] | \[\frac{1}{2}\sqrt{2+\sqrt{2}}\] | \[\frac{1}{4}\sqrt{10+2\sqrt{5}}\] | \[\frac{\sqrt{5}+1}{4}\] |
| \[\tan \theta \] | \[\begin{align} & (\sqrt{3}-\sqrt{2})\, \\ & (\sqrt{2}-1) \\ \end{align}\] | \[2-\sqrt{3}\] | \[\sqrt{2}-1\] | \[\frac{\sqrt{25-10\sqrt{15}}}{5}\] | \[\sqrt{5-2\sqrt{5}}\] |
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