Question Number 21280 by gopikrishnan005@gmail.com last updated on 18/Sep/17 $${cosec}^{\mathrm{2}} \mathrm{67}^{\mathrm{0}} −{tan}^{\mathrm{2}} \mathrm{23}^{\mathrm{0}} = \\ $$ Answered by $@ty@m last updated on 18/Sep/17 $$\mathrm{1} \\…
Question Number 152349 by otchereabdullai@gmail.com last updated on 27/Aug/21 $$\mathrm{If}\:\mathrm{f}\left(\mathrm{x}\right)=\mathrm{log}_{\mathrm{8x}\:} \:,\:\mathrm{find}\: \\ $$$$\left(\mathrm{i}\right)\:\mathrm{f}^{−\mathrm{1}} \left(\mathrm{x}\right) \\ $$$$\left(\mathrm{ii}\right)\:\mathrm{f}^{−\mathrm{1}} \left(\mathrm{2}\right) \\ $$ Commented by otchereabdullai@gmail.com last updated on…
Question Number 21279 by gopikrishnan005@gmail.com last updated on 18/Sep/17 $$\mathrm{1}+{sin}\theta/{cos}\theta= \\ $$ Answered by $@ty@m last updated on 18/Sep/17 $$\mathrm{tan}\:\left(\frac{\pi}{\mathrm{4}}+\frac{\theta}{\mathrm{2}}\right) \\ $$ Terms of Service…
Question Number 152350 by mnjuly1970 last updated on 27/Aug/21 $$ \\ $$$$\:\:\:\mathrm{prove}\:\mathrm{that}\:…. \\ $$$$\:\: \\ $$$$\boldsymbol{\phi}:=\int_{\mathrm{0}} ^{\:\mathrm{1}} \frac{\:{x}.\:{ln}^{\:\mathrm{2}} \left(\:\mathrm{1}+\:{x}\:\right)}{\mathrm{1}\:+\:{x}^{\:\mathrm{2}} }\:\:\:{dx}\:=\frac{\mathrm{1}}{\mathrm{96}}\:{ln}\left(\mathrm{2}\:\right)\:\left(\:\pi^{\:\mathrm{2}} \:+\:\mathrm{4}\:{ln}^{\:\mathrm{2}} \:\left(\mathrm{2}\:\right)\right)….\blacksquare\:\:\:\:\: \\ $$$$\:\:\:\mathrm{M}.\mathrm{N}.. \\…
Question Number 21276 by ketto last updated on 18/Sep/17 Answered by $@ty@m last updated on 19/Sep/17 $$\left({a}\right)\:{Given} \\ $$$${t}_{\mathrm{3}} =\mathrm{18}\:\Rightarrow\:{ar}^{\mathrm{2}} =\mathrm{18}\:\:\:\:\:\:\:−−\left(\mathrm{1}\right) \\ $$$${t}_{\mathrm{5}} =\mathrm{162}\:\Rightarrow\:{ar}^{\mathrm{4}} =\mathrm{162}\:\:−−\left(\mathrm{2}\right)…
Question Number 152345 by mnjuly1970 last updated on 27/Aug/21 $$ \\ $$$$\:\:\:\:{prove}… \\ $$$$\:\:\:\:\:\mathrm{S}\:=\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{}\:=\:\frac{\mathrm{1}}{\mathrm{3}}\:+\frac{\mathrm{2}\pi\:\sqrt{\mathrm{3}}}{\mathrm{27}}\:…\blacksquare \\ $$$$ \\ $$ Answered by Kamel last updated…
Question Number 21273 by 8116417733 last updated on 18/Sep/17 $$\mathrm{cos}\:\mathrm{70}+\mathrm{4cos}\:\mathrm{70} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 152346 by n0y0n last updated on 27/Aug/21 $$\mathrm{we}\:\mathrm{know}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{of}\:\mathrm{a}\:\mathrm{simple}\:\mathrm{harmonic}\:\mathrm{wave} \\ $$$$\mathrm{going}\:\mathrm{to}\:\mathrm{left}\:\mathrm{to}\:\mathrm{right}\:\mathrm{is}, \\ $$$$\:\mathrm{y}=\mathrm{asin}\frac{\mathrm{2}\pi}{\lambda}\left(\mathrm{vt}−\mathrm{x}\right)\: \\ $$$$\:\mathrm{if}\:\mathrm{we}\:\mathrm{put}\:\mathrm{t}=\mathrm{0}\:\mathrm{and}\:\mathrm{x}=\mathrm{0}\:, \\ $$$$\mathrm{we}\:\mathrm{get}\:\mathrm{y}=\mathrm{0} \\ $$$$\mathrm{and}\:\mathrm{if}\:\mathrm{we}\:\mathrm{put}\:\mathrm{t}=\mathrm{0}\:\mathrm{and}\:\mathrm{x}=\mathrm{0}.\mathrm{25}\lambda\:, \\ $$$$\mathrm{we}\:\mathrm{get}\:\mathrm{y}=\:\mathrm{a}\:\:\:!! \\ $$$$\mathrm{But}\:\mathrm{How}\:\:\mathrm{could}\:\mathrm{this}\:\mathrm{be}\:\mathrm{possible}? \\…
Question Number 21272 by Tinkutara last updated on 18/Sep/17 $$\mathrm{Let}\:\alpha,\:\beta\:\in\:\left(−\pi,\:\pi\right)\:\mathrm{be}\:\mathrm{such}\:\mathrm{that} \\ $$$$\mathrm{cos}\left(\alpha\:−\:\beta\right)\:=\:\mathrm{1}\:\mathrm{and}\:\mathrm{cos}\left(\alpha\:+\:\beta\right)\:=\:\frac{\mathrm{1}}{{e}}. \\ $$$$\mathrm{The}\:\mathrm{number}\:\mathrm{of}\:\mathrm{pairs}\:\mathrm{of}\:\alpha,\:\beta\:\mathrm{satisfying} \\ $$$$\mathrm{the}\:\mathrm{above}\:\mathrm{system}\:\mathrm{of}\:\mathrm{equation}\:\mathrm{is} \\ $$ Answered by mrW1 last updated on 18/Sep/17…
Question Number 152340 by imjagoll last updated on 27/Aug/21 $$\:\:\mathrm{If}\:\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} \:=\:\mathrm{1}\:\mathrm{then}\:\mathrm{find}\:\mathrm{the}\:\mathrm{maximum} \\ $$$$\mathrm{value}\:\mathrm{of}\:\mathrm{x}^{\mathrm{2}} +\mathrm{4xy}−\mathrm{y}^{\mathrm{2}} \:. \\ $$ Answered by iloveisrael last updated on 27/Aug/21…