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Author: Tinku Tara

If-3sin-x-5cos-x-5-find-value-s-of-5sin-x-3cos-x-

Question Number 139710 by ajfour last updated on 30/Apr/21 $${If}\:\:\mathrm{3sin}\:{x}+\mathrm{5cos}\:{x}=\mathrm{5} \\ $$$${find}\:{value}\left({s}\right)\:{of}\:\:\mathrm{5sin}\:{x}−\mathrm{3cos}\:{x}. \\ $$ Answered by MJS_new last updated on 30/Apr/21 $$\mathrm{3sin}\:{x}\:+\mathrm{5cos}\:{x}\:=\mathrm{5} \\ $$$$\frac{\mathrm{3tan}\:{x}+\mathrm{5}}{\:\sqrt{\mathrm{1}+\mathrm{tan}^{\mathrm{2}} \:{x}}}=\mathrm{5}\:\Rightarrow\:\mathrm{tan}\:{x}\:=\mathrm{0}\vee\mathrm{tan}\:{x}\:=\frac{\mathrm{15}}{\mathrm{8}}…

Find-lim-n-n-p-x-n-where-p-Z-

Question Number 8633 by Yozzias last updated on 19/Oct/16 $$\mathrm{Find}\:\underset{\mathrm{n}\rightarrow\infty} {\mathrm{lim}}\frac{\mathrm{n}^{\mathrm{p}} }{\mathrm{x}^{\mathrm{n}} }\:\:\:\mathrm{where}\:\mathrm{p}\in\mathbb{Z}^{+} . \\ $$ Commented by prakash jain last updated on 19/Oct/16 $$\mathrm{Does}\:{x}\:\mathrm{cover}\:\mathrm{entire}\:\mathrm{range}\:\mathrm{of}\:\mathbb{R}?…