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Find the value of \(\frac{8sin45° + 5cos60°}{sin^230° - 2cos^245° + 7tan45°}\) |
\(\frac{8(5+\sqrt {2})}{25}\) \(\frac{5-3 \sqrt {2}}{25}\) \(\frac{4(5+8 \sqrt {3})}{25}\)
\(\frac{2(5+8 \sqrt {2})}{25}\) |
\(\frac{2(5+8 \sqrt {2})}{25}\) |
\(\frac{8sin45° + 5 cos60°}{sin^230° - 2cos^245° + 7tan45°}\) = \(\frac{\frac{8}{\sqrt{2}} + \frac{5}{2}}{\frac{1}{4} - 2 × \frac{1}{2} + 7}\) = \(\frac{4\sqrt {2} + \frac{5}{2}}{\frac{1}{4} + 6}\) = \(\frac{2(8\sqrt {2} + 5)}{25}\) = \(\frac{2(5 + 8\sqrt {2})}{25}\) |
