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1-27-1-log-2-3-log-125-0-2-2-if-pi-12-find-cos-2-2sin-cos-sin-2-




Question Number 141513 by mathdanisur last updated on 19/May/21
1.  27^((1/(log_2 3)) + log_(125) 0,2) =?  2.  if,  α = (π/(12))  find,  cos^2 α + 2sinαcosα − sin^2 α=?
$$\mathrm{1}.\:\:\mathrm{27}^{\frac{\mathrm{1}}{{log}_{\mathrm{2}} \mathrm{3}}\:+\:{log}_{\mathrm{125}} \mathrm{0},\mathrm{2}} =? \\ $$$$\mathrm{2}.\:\:{if},\:\:\alpha\:=\:\frac{\pi}{\mathrm{12}} \\ $$$${find},\:\:{cos}^{\mathrm{2}} \alpha\:+\:\mathrm{2}{sin}\alpha{cos}\alpha\:−\:{sin}^{\mathrm{2}} \alpha=? \\ $$

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