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Find the value of \(\frac{tan30° cosec60° + tan60° sec30°}{sec^230° + 4cot^245° - sec^260°}\) |
\(\frac{2}{3}\) \(\frac{32}{3}\) \(\frac{8}{3}\) \(\frac{32}{89}\) |
\(\frac{32}{3}\) |
\(\frac{\frac{1}{\sqrt {3}}×\frac{2}{\sqrt {3}}+\sqrt {3}×\frac{2}{\sqrt {3}}}{(\frac{1}{2})^2+4×1-(2)^2}\) = \(\frac{\frac{2}{3}+2}{\frac{1}{4}+4-4}\) = \(\frac{\frac{8}{3}}{\frac{1}{4}}\) = \(\frac{32}{3}\) |
