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Question-197129

Question Number 197129 by sonukgindia last updated on 08/Sep/23 Answered by Frix last updated on 09/Sep/23 $$\mathrm{This}\:\mathrm{just}\:\mathrm{comes}\:\mathrm{from}\:\mathrm{my}\:\mathrm{experience}\:\mathrm{with} \\ $$$$\mathrm{trigonometric}\:\mathrm{functions}.\:\mathrm{I}'\mathrm{m}\:\mathrm{not}\:\mathrm{good}\:\mathrm{at} \\ $$$$\mathrm{solving}\:\mathrm{differential}\:\mathrm{equations}. \\ $$$${f}\left({x}\right)=\mathrm{tan}\:{x} \\ $$$$\Rightarrow…

Find-all-the-values-of-sin-1-2-

Question Number 197052 by pete last updated on 07/Sep/23 $$\mathrm{Find}\:\mathrm{all}\:\mathrm{the}\:\mathrm{values}\:\mathrm{of}\:\mathrm{sin}^{−\mathrm{1}} \sqrt{\mathrm{2}} \\ $$ Answered by Frix last updated on 07/Sep/23 $$\mathrm{sin}\:{x}\:=\sqrt{\mathrm{2}} \\ $$$${x}=\left(\mathrm{2}{n}−\frac{\mathrm{1}}{\mathrm{2}}\right)\pi\pm\mathrm{i}\:\mathrm{ln}\:\left(\mathrm{1}+\sqrt{\mathrm{2}}\right) \\ $$$$\mathrm{You}\:\mathrm{get}\:\mathrm{this}\:\mathrm{using}…

lim-x-pi-4-sin-9-x-1-2-cos-7-x-4x-pi-

Question Number 197054 by cortano12 last updated on 07/Sep/23 $$\:\:\:\:\:\:\underset{{x}\rightarrow\frac{\pi}{\mathrm{4}}} {\mathrm{lim}}\:\frac{\mathrm{sin}\:^{\mathrm{9}} \mathrm{x}−\frac{\mathrm{1}}{\mathrm{2}}\:\mathrm{cos}\:^{\mathrm{7}} \mathrm{x}}{\mathrm{4x}−\pi}\:=? \\ $$ Answered by universe last updated on 07/Sep/23 $$\frac{\mathrm{1}}{\mathrm{4}\sqrt{\mathrm{2}}} \\ $$…

Question-197104

Question Number 197104 by MrGHK last updated on 07/Sep/23 Commented by TheHoneyCat last updated on 08/Sep/23 $$\mathrm{Are}\:\mathrm{you}\:\mathrm{looking}\:\mathrm{for}\:\mathrm{a}\:\mathrm{functional}\:\mathrm{answere}? \\ $$$$\mathrm{because}\:\mathrm{if}\:\mathrm{you}\:\mathrm{are}\:\mathrm{expecting}\:\mathrm{a}\:\mathrm{solution}: \\ $$$${x}\left({t}\right)=… \\ $$$$\mathrm{then}\:\mathrm{there}\:\mathrm{is}\:\mathrm{an}\:\mathrm{issue}:\:{y}\:\mathrm{is}\:\mathrm{not}\:\mathrm{defined}! \\ $$…