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Author: Tinku Tara

Question-9677

Question Number 9677 by ridwan balatif last updated on 23/Dec/16 Commented by geovane10math last updated on 23/Dec/16 $${An}\:{acute}\:{angle}\:{can}\:{not}\:{measure}\:\mathrm{129}° \\ $$$$\mathrm{51}°\:+\:\mathrm{78}°\:=\:\mathrm{129}° \\ $$ Commented by ridwan…

k-0-n-cos-3-k-

Question Number 140750 by SOMEDAVONG last updated on 12/May/21 $$\underset{\mathrm{k}=\mathrm{0}} {\overset{\mathrm{n}} {\sum}}\mathrm{cos}^{\mathrm{3}} \mathrm{k}=? \\ $$ Answered by Dwaipayan Shikari last updated on 12/May/21 $$\mathrm{4}{cos}^{\mathrm{3}} {k}−\mathrm{3}{cosk}={cos}\mathrm{3}{k}\Rightarrow{cos}^{\mathrm{3}}…

Question-9675

Question Number 9675 by ridwan balatif last updated on 23/Dec/16 Commented by ridwan balatif last updated on 23/Dec/16 $$\mathrm{please}\:\mathrm{someone}\:\mathrm{help}\:\mathrm{me}\:\mathrm{to}\:\mathrm{translate}\:\mathrm{this}\:\mathrm{question} \\ $$$$\mathrm{into}\:\mathrm{English}\:\mathrm{and}\:\mathrm{help}\:\mathrm{me}\:\mathrm{to}\:\mathrm{solve}\:\mathrm{this}\:\mathrm{question} \\ $$ Commented by…

Prove-that-cos-18-0-sin-18-0-2-sin-2-

Question Number 75208 by vishalbhardwaj last updated on 08/Dec/19 $$\:\mathrm{Prove}\:\mathrm{that}\::\:\mathrm{cos}\:\mathrm{18}^{\mathrm{0}} −\mathrm{sin}\:\mathrm{18}^{\mathrm{0}} \:=\:\sqrt{\mathrm{2}}\:\mathrm{sin}\:\mathrm{2} \\ $$ Answered by Kunal12588 last updated on 08/Dec/19 $${cos}\:\mathrm{18}°−{sin}\mathrm{18}° \\ $$$$=\sqrt{\mathrm{2}}{sin}\left(\mathrm{45}°−\mathrm{18}°\right) \\…

Question-140746

Question Number 140746 by 676597498 last updated on 12/May/21 Answered by Ar Brandon last updated on 12/May/21 $$\left(\mathrm{i}\right)\:\left(\mathrm{1}+\mathrm{3w}\right)\left(\mathrm{1}+\mathrm{3w}^{\mathrm{2}} \right)=\mathrm{1}+\mathrm{3}\left(\mathrm{w}^{\mathrm{2}} +\mathrm{w}\right)+\mathrm{9w}^{\mathrm{3}} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\mathrm{1}+\mathrm{3}\left(−\mathrm{w}^{\mathrm{3}} \right)+\mathrm{9}\left(\mathrm{1}\right)=\mathrm{1}−\mathrm{3}+\mathrm{9}=\mathrm{7} \\ $$$$…

Question-75209

Question Number 75209 by vishalbhardwaj last updated on 08/Dec/19 Answered by Kunal12588 last updated on 08/Dec/19 $${x}+{y}+{z}={xyz} \\ $$$${let}\:{x}={tan}\:\alpha,{y}={tan}\:\beta,\:{z}={tan}\:\gamma \\ $$$${tan}\:\alpha\:+\:{tan}\:\beta\:+\:{tan}\:\gamma\:=\:{tan}\:\alpha\:{tan}\:\beta\:{tan}\:\gamma \\ $$$$\Rightarrow{tan}\:\gamma\:\left(\mathrm{1}−{tan}\:\alpha\:{tan}\:\beta\right)=−\left({tan}\:\alpha+{tan}\:\beta\right) \\ $$$$\Rightarrow{tan}\:\gamma=−\frac{{tan}\:\alpha+{tan}\beta}{\mathrm{1}−{tan}\:\alpha\:{tan}\:\beta}=−{tan}\:\left(\alpha+\beta\right)…

Question-75203

Question Number 75203 by jagannath.02 last updated on 08/Dec/19 Answered by Rio Michael last updated on 08/Dec/19 $$\:{if}\:{we}\:{increase}\:{the}\:{temperature}\:{of}\: \\ $$$${a}\:{diatomic}\:{gas},\:{the}\:{molecules}\:{gain}\:{energy} \\ $$$${and}\:{move}\:{randomly}\:{applying}\:{more}\:{pressure}. \\ $$$${from}\:{the}\:{graph}\:{ab}\:{shows}\:{how}\:{temperature}\:{increases}. \\…