Category: Trigonometry

Question Number 127787 by bemath last updated on 02/Jan/21 $${\csc }^2\left(\frac{\pi }{7}\right)+{\csc }^2\left(\frac{2\pi }{7}\right)+{\csc }^2\left(\frac{3\pi }{7}\right)=?$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 127542 by Study last updated on 30/Dec/20 Commented by Study last updated on 30/Dec/20 $$helpme$$ Commented by Study last updated on…

Question Number 127402 by bemath last updated on 29/Dec/20 $$Computexif\arctan x+\arctan 1=2(\arctan x-\arctan \frac{1}{3})$$ Answered by liberty last updated on 29/Dec/20 $$\iff \arctan x+\arctan 1=2\arctan x-2\arctan \frac{1}{3}$$$$\iff \arctan x=\arctan 1+2\arctan \frac{1}{3}$$$$\:\:\:\:\:\mathrm{tan}\:\left(\mathrm{arctan}\:{x}\right)\:=\:\mathrm{tan}\:\left(\frac{\pi}{\mathrm{4}}+\mathrm{2arctan}\:\frac{\mathrm{1}}{\mathrm{3}}\right) \…

Question Number 127373 by mnjuly1970 last updated on 29/Dec/20 $$\dots elemearycalculus..$$$$if\{\begin{array}{l}sin\left(3x\right)+cos\left(3x\right)=m\\ sin\left(x\right)+cos\left(x\right)=n\end{array}$$$$thenfindtherelatiomship$$$$between{}^{\prime }{m}^{\prime }and{}^{\prime }{n}^{\prime }independentof$$$${}^{\prime }{x}^{\prime }\dots .$$ Answered by bemath last updated…

Question Number 61799 by alphaprime last updated on 08/Jun/19 $$\mathrm{If}\mathrm{a}=\mathrm{Cos}\alpha -\mathrm{iSin}\alpha \mathrm{and}\mathrm{b}=\mathrm{Cos}\beta -\mathrm{iSin}\beta$$$$\mathrm{Prove}\mathrm{that}\frac{(\mathrm{a}+\mathrm{b})(1-\mathrm{ab})}{(\mathrm{a}-\mathrm{b})(1+\mathrm{ab})}=\frac{\mathrm{Sin}\alpha +\mathrm{Sin}\beta }{\mathrm{Sin}\alpha -\mathrm{Sin}\beta }$$ Answered by tanmay last updated on 09/Jun/19 $$a=e^{-i\alpha }b=e^{-i\beta }$$$$\frac{{a}}{{b}}={e}^{−{i}\left(\propto−\beta\right)}…