Category: Trigonometry

Question Number 7142 by Tawakalitu. last updated on 13/Aug/16 $$Thesidesofatrianglearexcm,(x-4)cm,(x-8)cm$$$$respectively.ifthecosineothelargestis\frac{1}{5},$$$$calculatetheanglesoftriangle.$$$$$$ Answered by Rasheed Soomro last updated on…

Question Number 7039 by Rasheed Soomro last updated on 07/Aug/16 $$Showwithoutusingcalculatorthat$$$${\tan }^{-1}\left(\frac{\sin 20\sin 150\sin 160}{\sin 10\sin 140+\sin 20\sin 150\cos 160}\right)=130$$ Commented by Yozzii last updated on 08/Aug/16 $${All}\:{figures}\:{are}\:{assumed}\:{to}\:{be}\:{in}\:{degrees}. \…

Question Number 72497 by Shamim last updated on 29/Oct/19 $$\mathrm{if},\cot \theta +\mathrm{cosec}\theta =\frac{1}{\sqrt{3}}\mathrm{then}\mathrm{find}\mathrm{the}\mathrm{value}$$$$\mathrm{of}\theta \mathrm{where}0<\theta ⩽2\pi .$$ Answered by behi83417@gmail.com last updated on 29/Oct/19 $$\frac{\cos \theta }{\sin \theta }+\frac{1}{\sin \theta }=\frac{1}{\sqrt{3}}\Rightarrow \frac{1+\cos \theta }{\sin \theta }=\frac{1}{\sqrt{3}}\Rightarrow$$$$\frac{\mathrm{2cos}^{\mathrm{2}} \frac{\theta}{\mathrm{2}}}{\mathrm{2sin}\frac{\theta}{\mathrm{2}}\mathrm{cos}\frac{\theta}{\mathrm{2}}}=\frac{\mathrm{1}}{\:\sqrt{\mathrm{3}}}\Rightarrow$$\{\begin{array}{l}1.\cos \frac{\theta }{2}=0\\ 2.\cot \frac{\theta }{2}=\frac{1}{\sqrt{3}}\end{array}$$…

Question Number 6908 by Tawakalitu. last updated on 02/Aug/16 $$sin\left(Z\right)=100$$$$$$$$findz$$ Commented by Rasheed Soomro last updated on 02/Aug/16 $${Always}…

Question Number 6872 by hanandmishra026@gmail.com last updated on 31/Jul/16 $$Eliminate\theta ifx=a{\sec }^3\theta andy=b{\tan }^3\theta$$ Commented by Yozzii last updated on 31/Jul/16 $$sec\theta ={\left(\frac{x}{a}\right)}^{1/3},tan\theta ={\left(\frac{y}{b}\right)}^{1/3}$$$${sec}^{\mathrm{2}}…