Category: Trigonometry

Question Number 64619 by Aysha Abedin last updated on 19/Jul/19 $$showthat{\int }_{-\alpha }^{\alpha }sinc\left(x\right)dx={\int }_{-\alpha }^{\alpha }{sinc}^2\left(x\right)dx=\mathrm{\Pi }$$ Commented by mathmax by abdo last updated…

Question Number 130054 by EDWIN88 last updated on 22/Jan/21 $$\mathrm{The}\mathrm{maximum}\mathrm{value}\mathrm{of}\mathrm{f}\left(\mathrm{x}\right)=\sin {}^2(\frac{2\pi }{3}+\mathrm{x})+\sin {}^2(\frac{2\pi }{3}-\mathrm{x})\mathrm{is}?$$ Answered by liberty last updated on 22/Jan/21 Commented by MJS_new last…

Question Number 130041 by liberty last updated on 22/Jan/21 $$\mathrm{Given}\mathrm{A}\mathrm{and}\mathrm{B}\mathrm{are}\mathrm{the}\mathrm{solution}$$$$\mathrm{of}\mathrm{equation}a\tan x+b\sec x=c$$$$find\tan (A+\mathrm{B}).$$ Answered by nueron last updated on 22/Jan/21 Commented by…

Question Number 129958 by bemath last updated on 21/Jan/21 $$3+\cos \left(6\mathrm{x}\right)=2\left(\frac{\sin 3\mathrm{x}}{\cos 4\mathrm{x}}\right)-4\tan {}^2\left(4\mathrm{x}\right)$$ Answered by MJS_new last updated on 21/Jan/21 $$s=\sin x$$$$\dots$$$${s}^{\mathrm{14}}…

Question Number 129807 by bramlexs22 last updated on 19/Jan/21 $$8.(1+\sin \frac{\pi }{8})(1+\sin \frac{3\pi }{8})(1-\sin \frac{5\pi }{8})(1-\sin \frac{7\pi }{8})=?$$ Answered by EDWIN88 last updated on 19/Jan/21 $$\sin \mathrm{x}=\sin (\pi -\mathrm{x})$$$$\sin \frac{3\pi }{8}=\sin \frac{5\pi }{8}\mathrm{and}\sin \frac{7\pi }{8}=\sin \frac{\pi }{8}$$$$\Leftrightarrow\:\mathrm{8}\left(\mathrm{1}+\mathrm{sin}\:\frac{\pi}{\mathrm{8}}\right)\left(\mathrm{1}−\mathrm{sin}\:\frac{\pi}{\:\mathrm{8}}\right)\left(\mathrm{1}+\mathrm{sin}\:\frac{\mathrm{3}\pi}{\mathrm{8}}\right)\left(\mathrm{1}−\mathrm{sin}\:\frac{\mathrm{3}\pi}{\mathrm{8}}\right)= \…