Category: Trigonometry

Question Number 46636 by azharkhan250963@gmail.com last updated on 29/Oct/18 $$\tan \theta ={10\tan 60}^{°}$$ Answered by tanmay.chaudhury50@gmail.com last updated on 29/Oct/18 $$tan\theta =10\times \sqrt{3}$$$$tan\theta =10\times 1.732$$$$\theta={tan}^{−\mathrm{1}} \left(\mathrm{17}.\mathrm{32}\right)…

Question Number 112136 by weltr last updated on 06/Sep/20 $$find\frac{5}{6+7\sin 2\beta },if\tan \beta =0.2$$ Answered by bemath last updated on 06/Sep/20 $$\tan \beta =\frac{1}{5}\to \{\begin{array}{l}if\beta inI-quadrant\to \{\begin{array}{l}\sin \beta =\frac{1}{\sqrt{26}}\\ \cos \beta =\frac{5}{\sqrt{26}}\end{array}\\ if\beta inIII-quadrant\to \{\begin{array}{l}\sin \beta =-\frac{1}{\sqrt{26}}\\ \cos \beta =-\frac{5}{\sqrt{26}}\end{array}\end{array}$$$$\iff \frac{5}{6+14\sin \beta \cos \beta }=\frac{5}{6+14\left(\frac{5}{26}\right)}$$$$=\:\frac{\mathrm{5}×\mathrm{26}}{\mathrm{6}×\mathrm{26}+\mathrm{70}}\:=\:\frac{\mathrm{65}}{\mathrm{78}+\mathrm{35}}\:=\:\frac{\mathrm{65}}{\mathrm{113}} \…

Question Number 46569 by scientist last updated on 28/Oct/18 $$showthatIf{a}^2,b^2,c^{2}areinA.PthecotA,cotB,cotCare$$$$alsoinA.P$$ Answered by tanmay.chaudhury50@gmail.com last updated on 28/Oct/18 $$\frac{{sinA}}{{a}}=\frac{{sinB}}{{b}}=\frac{{sinc}}{{c}}={k}\left({say}\right)…

Question Number 46568 by scientist last updated on 28/Oct/18 $$showthatifthesideofatriangleareinA.P,$$$$thenthecotangentalsoinA.P$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 112067 by bemath last updated on 06/Sep/20 $$\sqrt{bemath----\mathrm{<img\; draggable="false"\; role="img"\; class="emoji"\; alt="◼"\; src="https://s.w.org/images/core/emoji/15.1.0/svg/25fc.svg">}\mathrm{<img\; draggable="false"\; role="img"\; class="emoji"\; alt="◼"\; src="https://s.w.org/images/core/emoji/15.1.0/svg/25fc.svg">}}$$$$findthevalueof\underset{m=1}{\prod ^6}\tan \left(\frac{m\pi }{7}\right).$$ Commented by MJS_new last updated on 06/Sep/20 $$\mathrm{should}\:\mathrm{be}\:=\mathrm{0} \…