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Category: Trigonometry

Question-118690

Question Number 118690 by Algoritm last updated on 19/Oct/20 Answered by benjo_mathlover last updated on 19/Oct/20 $$\Rightarrow\mathrm{cos}\:\mathrm{3}{x}=\mathrm{4cos}\:^{\mathrm{3}} {x}−\mathrm{3cos}\:{x} \\ $$$$\Rightarrow\frac{\mathrm{cos}\:^{\mathrm{2}} {x}}{\mathrm{4}}\:=\:\mathrm{cos}\:\mathrm{3}{x}\left(\mathrm{cos}\:^{\mathrm{4}} {x}−\mathrm{cos}\:\mathrm{3}{x}\right) \\ $$$$\Rightarrow\mathrm{cos}\:^{\mathrm{2}} {x}=\mathrm{4}\left(\mathrm{4cos}\:^{\mathrm{3}}…

nilai-maksimum-fungsi-y-1-sin-2x-cos-2x-

Question Number 118546 by putriamalia last updated on 18/Oct/20 $${nilai}\:{maksimum}?{fungsi}\:{y}=\:\mathrm{1}+\:{sin}\:\mathrm{2}{x}\:+{cos}\:\mathrm{2}{x} \\ $$ Commented by mr W last updated on 18/Oct/20 $${y}=\mathrm{1}+\mathrm{sin}\:\mathrm{2}{x}+\mathrm{cos}\:\mathrm{2}{x} \\ $$$$=\mathrm{1}+\sqrt{\mathrm{2}}\:\mathrm{sin}\:\left(\mathrm{2}{x}+\frac{\pi}{\mathrm{4}}\right) \\ $$$$\leqslant\mathrm{1}+\sqrt{\mathrm{2}}…

Question-52841

Question Number 52841 by Tawa1 last updated on 13/Jan/19 Commented by maxmathsup by imad last updated on 14/Jan/19 $$\:\pi\:\rightarrow\mathrm{180}^{{o}} \\ $$$$\:\alpha\rightarrow{k}^{{o}} \:\Rightarrow\mathrm{180}^{} .\alpha\:={k}\pi\:\Rightarrow\alpha\:=\frac{{k}\pi}{\mathrm{180}}\:\Rightarrow \\ $$$${S}=\sum_{{k}=\mathrm{0}}…

657-10-4-5-7-

Question Number 118369 by Samokoji last updated on 17/Oct/20 $$\:\mathrm{657}×\mathrm{10}^{\mathrm{4}} =\frac{\mathrm{5}}{\mathrm{7}}+ \\ $$ Commented by MJS_new last updated on 17/Oct/20 $${a}={b}+{x}\:\Rightarrow\:{x}={a}−{b} \\ $$$${a}−\frac{{p}}{{q}}=\frac{{aq}}{{q}}−\frac{{p}}{{q}}=\frac{{aq}−{p}}{{q}} \\ $$$$\mathrm{where}'\mathrm{s}\:\mathrm{the}\:\mathrm{problem}?…

4-Turunan-fungsi-f-x-5-10x-2-4-8-adalah-f-1-x-Nilai-f-1-1-a-1-b-8-c-14-d-16-e-20-

Question Number 118366 by andilizhaa last updated on 17/Oct/20 $$\mathrm{4}.\:\mathrm{Turunan}\:\mathrm{fungsi}\:\mathrm{f}\left(\mathrm{x}\right)=^{\mathrm{5}} \sqrt{\left(\mathrm{10x}^{\mathrm{2}} −\mathrm{4}\right)^{\mathrm{8}} \:\:} \\ $$$$\mathrm{adalah}\:\mathrm{f}^{\mathrm{1}} \left(\mathrm{x}\right).\:\mathrm{Nilai}\:\mathrm{f}^{\mathrm{1}} \left(\mathrm{1}\right)=… \\ $$$${a}.\:\mathrm{1} \\ $$$${b}.\:\mathrm{8} \\ $$$${c}.\:\mathrm{14} \\ $$$$\mathrm{d}.\:\mathrm{16}…