Category: Algebra

Question Number 147933 by mathdanisur last updated on 24/Jul/21 $$Simplify$$$$(1+\frac{1}{cos2x})\cdot (1+\frac{1}{cos4x})\cdot (1+\frac{1}{cos8x})=?$$ Answered by som(math1967) last updated on 24/Jul/21 $$\frac{{tanx}}{{tanx}}\left(\mathrm{1}+\frac{\mathrm{1}+{tan}^{\mathrm{2}} {x}}{\mathrm{1}−{tan}^{\mathrm{2}} {x}}\right)\left(\mathrm{1}+\frac{\mathrm{1}+{tan}^{\mathrm{2}} \mathrm{2}{x}}{\mathrm{1}−{tan}^{\mathrm{2}}…

Question Number 147932 by mathdanisur last updated on 24/Jul/21 $$if\frac{1-sin2x}{1+sin2x}=\sqrt{17+12\sqrt{2}}$$$$find\mid \frac{sinx+cosx}{cosx-sinx}\mid =?$$ Answered by iloveisrael last updated on 24/Jul/21 $$\mid \mathrm{x}\mid =\sqrt{{\mathrm{x}}^2}$$$$\mid\frac{\mathrm{sin}\:\mathrm{x}+\mathrm{cos}\:\mathrm{x}}{\mathrm{cos}\:\mathrm{x}−\mathrm{sin}\:\mathrm{x}}\mid\:=\sqrt{\frac{\mathrm{1}+\mathrm{sin}\:\mathrm{2x}}{\mathrm{1}−\mathrm{sin}\:\mathrm{2x}}}\:…

Question Number 16840 by Sai dadon. last updated on 27/Jun/17 $$6/2(2+1)$$ Commented by RasheedSoomro last updated on 27/Jun/17 $$6/2(2+1)$$$$=6/\left\{2(2+1)\right\}$$$$=\mathrm{6}/\left(\mathrm{2}×\mathrm{3}\right)…

Question Number 16835 by tawa tawa last updated on 26/Jun/17 Answered by sandy_suhendra last updated on 27/Jun/17 $$1)$$$$5\mathrm{C}3\times 5\mathrm{C}3\times 4\mathrm{C}2$$$$=10\times 10\times 6$$$$=\:\mathrm{600}\:\mathrm{ways} \…

Question Number 16823 by tawa tawa last updated on 26/Jun/17 $$\mathrm{solve}\mathrm{for}\mathrm{g}.$$$$6(4^{\mathrm{x}}+{\mathrm{g}}^{\mathrm{x}})=13.6^{\mathrm{x}}$$ Commented by mrW1 last updated on 26/Jun/17 $$\mathrm{x}\neq\mathrm{0}…