"DO NOT SEND SIMILAR QUERIES?.
Q.6. Find the values of
(i) $\sqrt{\frac{1-{\cos }^{2}30°}{1-{\sin }^{2}30°}}$

Dear Student,

Please find below the solution to the asked query:

We have : $\sqrt{\frac{1 - {\mathrm{Cos}}^2 30°}{1 - {\mathrm{Sin}}^2 30°}}$ , So

$$\begin{gathered} \mathrm{We} \mathrm{know} : {\mathrm{Sin}}^2 \mathrm{\theta } +\hspace{0.17em}{\mathrm{Cos}}^2 \mathrm{\theta } = 1 , \mathrm{So} \\ \Rightarrow \sqrt{\frac{{\mathrm{Sin}}^2 30°}{{\mathrm{Cos}}^2 30°}} \\ \Rightarrow \frac{\mathrm{Sin} 30°}{\mathrm{Cos} 30°} \\ \mathrm{We} \mathrm{know} :\frac{\mathrm{Sin} \mathrm{\theta }}{\mathrm{Cos} \mathrm{\theta }} = \tan \mathrm{\theta } , \mathrm{So} \\ \Rightarrow \tan 30° \\ \mathbf{\Rightarrow }\frac{\mathbf{1}}{\sqrt{\mathbf{3}}}\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{(}\mathbf{ }\mathbf{Ans}\mathbf{ }\mathbf{)} \end{gathered}$$

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