# JEE Main & Advanced Mathematics Trigonometrical Ratios and Identities Trigonometrical Ratios for Some Special Angles

## 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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