Question Number 146500 by mathdanisur last updated on 13/Jul/21 $${Z}\:=\:−\mathrm{2}\centerdot\left({cos}\mathrm{80}−{sin}\mathrm{80}\right) \\ $$$${Show}\:{it}\:{in}\:{trigonometry} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 146488 by mathdanisur last updated on 13/Jul/21 $${if}\:\:\:{x}+{y}=\mathrm{216}\:\:\:{and}\:\:\:\boldsymbol{{dcm}}\left({x};{y}\right)=\mathrm{18} \\ $$$${find}\:\:\:{x}−{y}=? \\ $$ Commented by mathdanisur last updated on 13/Jul/21 $${the}\:{biggest}\:{common}\:{divisot} \\ $$ Commented…
Question Number 146470 by mathdanisur last updated on 13/Jul/21 $${if}\:\:\:\mathrm{4}{a}=\mathrm{7}{b}=\mathrm{2}{c}\:\:{and}\:\:\:\boldsymbol{{dcm}}\left({a};{b};{c}\right)=\mathrm{3} \\ $$$${find}\:\:\:{a}+{b}+{c}=? \\ $$ Answered by Rasheed.Sindhi last updated on 13/Jul/21 $${if}\:\:\:\mathrm{4}{a}=\mathrm{7}{b}=\mathrm{2}{c}\:\:{and}\:\:\:\boldsymbol{{gcd}}\left({a},{b},{c}\right)=\mathrm{3} \\ $$$${a}+{b}+{c}=? \\…
Question Number 80930 by peter frank last updated on 08/Feb/20 Commented by jagoll last updated on 08/Feb/20 $$\Rightarrow\left(\mathrm{1}\right)\:{a}+{b}+\mathrm{2}\:=\:\mathrm{0}\:,\:{a}+{b}\:=\:−\mathrm{2} \\ $$$$\Rightarrow\left(\mathrm{2}\right)\:{y}'\:=\:\mathrm{3}{ax}^{\mathrm{2}} +\mathrm{2}{bx} \\ $$$$\Rightarrow{y}\:''\:=\:\mathrm{6}{ax}\:+\mathrm{2}{b}\:=\:\mathrm{0}\:{for}\:{x}\:=\:\mathrm{1} \\ $$$$\mathrm{2}{b}\:=\:−\mathrm{6}{a}\:\Rightarrow{b}\:=\:−\mathrm{3}{a}\:\wedge\:{a}+{b}\:=−\mathrm{2}…
Question Number 146465 by mathdanisur last updated on 13/Jul/21 $${arccos}\left({cos}\:\mathrm{9}\right)\:=\:? \\ $$ Answered by gsk2684 last updated on 13/Jul/21 $$\mathrm{5}\frac{\Pi}{\mathrm{2}}<\mathrm{9}<\:\mathrm{3}\Pi \\ $$$$\left(\mathrm{5}\frac{\Pi}{\mathrm{2}}−\mathrm{2}\Pi\right)<\left(\mathrm{9}−\mathrm{2}\Pi\right)<\left(\mathrm{3}\Pi−\mathrm{2}\Pi\right) \\ $$$$\frac{\Pi}{\mathrm{2}}<\left(\mathrm{9}−\mathrm{2}\Pi\right)<\Pi \\…
Question Number 146467 by mathdanisur last updated on 13/Jul/21 $${if}\:\:\:\:\frac{\sqrt{\mathrm{3}}}{\mathrm{2}}\:+\:\frac{\mathrm{1}}{\mathrm{2}}\:\boldsymbol{{i}}\:\:\:\:{find}\:\:\:\boldsymbol{{z}}^{\mathrm{11}} \:=\:? \\ $$ Answered by gsk2684 last updated on 13/Jul/21 $${z}^{\mathrm{11}} \:=\:\left({cis}\:\frac{\Pi}{\mathrm{6}}\right)^{\mathrm{11}} =\:{cis}\left(\frac{\mathrm{11}\Pi}{\mathrm{6}}\right) \\ $$$$={cis}\left(\mathrm{2}\Pi−\frac{\Pi}{\mathrm{6}}\right)…
Question Number 80927 by peter frank last updated on 08/Feb/20 Commented by john santu last updated on 08/Feb/20 $${f}\left({x}\right)={ax}^{\mathrm{4}} +{bx}^{\mathrm{3}} +{cx}^{\mathrm{2}} +{dx}+\mathrm{4} \\ $$$${tangent}\:{line}\:{parallel}\:{to}\:{x}−{axis}\: \\…
Question Number 146457 by mathdanisur last updated on 13/Jul/21 Commented by mathdanisur last updated on 13/Jul/21 $${find}\:\:{x}=? \\ $$ Answered by gsk2684 last updated on…
Question Number 146459 by mathdanisur last updated on 13/Jul/21 $${if}\:\:\:{x}^{\mathrm{2}} ={y}^{\mathrm{3}} \:\:\:{find}\:\:\:\:{log}_{\boldsymbol{{x}}} {x}\sqrt{{y}}\:=\:?\:\:\: \\ $$ Answered by MJS_new last updated on 13/Jul/21 $$\mathrm{log}_{{x}} \:{x}\sqrt{{y}}\:=\frac{\mathrm{ln}\:{x}\sqrt{{y}}}{\mathrm{ln}\:{x}}=\frac{\mathrm{ln}\:{x}\:+\frac{\mathrm{1}}{\mathrm{2}}\mathrm{ln}\:{y}}{\mathrm{ln}\:{x}}=\mathrm{1}+\frac{\mathrm{ln}\:{y}}{\mathrm{2ln}\:{x}}= \\…
Question Number 80912 by TawaTawa last updated on 07/Feb/20 Commented by john santu last updated on 08/Feb/20 $$\frac{{x}^{\mathrm{4}} }{{q}^{\mathrm{3}} }\:+\:\frac{{y}^{\mathrm{4}} }{{p}^{\mathrm{3}} }\:=\:\mathrm{1}\: \\ $$$$\Rightarrow\left\{\left(\frac{{x}^{\mathrm{4}} }{{q}^{\mathrm{3}}…