Category: Trigonometry

Question Number 124404 by benjo_mathlover last updated on 03/Dec/20 $$Findminimumvalueoffunction$$$$f\left(x\right)=\sin {}^7\left(x\right)+\cos {}^{11}\left(x\right)$$ Commented by benjo_mathlover last updated on 03/Dec/20 Commented by…

Question Number 189896 by Rupesh123 last updated on 23/Mar/23 Answered by HeferH last updated on 24/Mar/23 $$\frac{\mathrm{x}}{3}=\frac{\mathrm{b}}{2}$$$$\frac{6}{4}=\frac{\mathrm{y}}{2};\mathrm{y}=3$$$$\mathrm{b}=\sqrt{6\cdot 3-4\cdot 2}=\sqrt{10}$$$$\mathrm{x}=\frac{3\sqrt{10}}{2}$$…

Question Number 124309 by bemath last updated on 02/Dec/20 $$If\sin \theta +2\cos \theta =1;then$$$$2\sin \theta -\cos \theta =?$$ Answered by MJS_new last updated on 02/Dec/20 $$t=\tan \theta$$$$\mathrm{sin}\:\theta\:+\mathrm{2cos}\:\theta\:=\frac{{t}+\mathrm{2}}{\:\sqrt{{t}^{\mathrm{2}} +\mathrm{1}}}=\mathrm{1}\:\Rightarrow\:{t}=−\frac{\mathrm{3}}{\mathrm{4}}…

Question Number 189664 by Rupesh123 last updated on 20/Mar/23 Answered by BaliramKumar last updated on 20/Mar/23 $$tan5°tan(60°-5°)tan(60°+5°)tan75°$$$$tan\left(3\times 5°\right)tan75°$$$$tan15°tan75°$$$$tan15°cot15°=1$$…

Question Number 58406 by rahul 19 last updated on 22/Apr/19 $$1)Valueof20!+\frac{21!}{1!}+\frac{22!}{2!}+\dots .+\frac{60!}{40!}is?$$$$2)Sumofallsolutionsof{eq}^n:$$$$\cos 3\theta =\sin 2\theta ininterval[-\frac{\pi }{2},\frac{\pi }{2}]is?$$ Answered by MJS last updated on 23/Apr/19…