Category: Trigonometry

Question Number 1961 by alib last updated on 26/Oct/15 $$Solve\dots$$$$$$$$1+sin2x=sinx+cosx$$ Answered by Rasheed Soomro last updated on 26/Oct/15 $$\mathrm{1}+\:{sin}\:\mathrm{2}{x}\:=\:{sin}\:{x}\:+\:{cos}\:{x}…

Question Number 1890 by Rasheed Soomro last updated on 21/Oct/15 $$Solveforx$$$$tanx+tan2x-tan3x=0$$$$SomeonehadpostedthisquestionandIhadansweredit$$$$butthenthreadwasdeleted!$$$$Ithinkthatthequestionisnotimportanceless,soIhav$$$$repostedit.$$ Commented by…

Question Number 67396 by Cmr 237 last updated on 26/Aug/19 Commented by mathmax by abdo last updated on 26/Aug/19 $$letP\left(z\right)=z^{2n}+1letdeterminetherootsofP\left(z\right)$$$${P}\left({z}\right)=\mathrm{0}\:\Leftrightarrow\:{z}^{\mathrm{2}{n}} \:=−\mathrm{1}\:\:\Leftrightarrow\:\:{z}^{\mathrm{2}{n}} ={e}^{{i}\left(\mathrm{2}{k}+\mathrm{1}\right)\pi}…

Question Number 1812 by 112358 last updated on 04/Oct/15 $$Findtheperiodoff\left(x\right)where$$$$f\left(x\right)=cos(2x+\frac{\pi }{3})+sin(\frac{3x}{2}-\frac{\pi }{4}).$$$$Howmayonefindtheperiod$$$$ofthefollowingfunctions$$$$if\psi \left(x\right)hasperiodmand\gamma \left(x\right)$$$$hasperiodn?$$$$\left(1\right)f_1\left(x\right)=\psi \left(x\right)\gamma \left(x\right)$$$$\left(\mathrm{2}\right)\:{f}_{\mathrm{2}}…

Question Number 67345 by Aditya789 last updated on 26/Aug/19 $$3sinx+5cosx=5thenprovethat$$$$5sinx-3cox=+3$$ Answered by $@ty@m123lastupdatedon26/Aug/19$$\frac{3}{5}\sin x+\cos x=1$$$$\frac{\mathrm{1}−\mathrm{cos}\:{x}}{\mathrm{sin}\:{x}}=\frac{\mathrm{3}}{\mathrm{5}} \…