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Category: Trigonometry

Find-the-value-of-x-Trigonometric-Subs-x-x-1-x-2-91-60-

Question Number 102190 by dw last updated on 07/Jul/20 $${Find}\:{the}\:{value}\:{of}\:\:{x}\:\centerdot\centerdot\left[{Trigonometric}\:{Subs}.\right] \\ $$$${x}−\frac{{x}}{\:\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }}=\frac{\mathrm{91}}{\mathrm{60}} \\ $$ Answered by bemath last updated on 07/Jul/20 $$\frac{{x}\left(\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }−\mathrm{1}\right)}{\:\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }}\:=\:\frac{\mathrm{91}}{\mathrm{60}}…

Question-102177

Question Number 102177 by dw last updated on 07/Jul/20 Commented by Rasheed.Sindhi last updated on 07/Jul/20 $${ac}+{bd}=\mathrm{0}\Rightarrow{d}=−\frac{{ac}}{{b}} \\ $$$${c}^{\mathrm{2}} +{d}^{\mathrm{2}} ={c}^{\mathrm{2}} +\left(−\frac{{ac}}{{b}}\right)^{\mathrm{2}} =\mathrm{1} \\ $$$$\:\:\:\:\:\:\:\:\:\:\Rightarrow{b}^{\mathrm{2}}…

Question-167594

Question Number 167594 by infinityaction last updated on 20/Mar/22 Answered by som(math1967) last updated on 20/Mar/22 $${cosx}+{cosy}+{cosz}={pcos}\left({x}+{y}+{z}\right) \\ $$$${cosxcos}\left({x}+{y}+{z}\right)+{cosycos}\left({x}+{y}+{z}\right) \\ $$$$+{coszcos}\left({x}+{y}+{z}\right)={pcos}^{\mathrm{2}} \left({x}+{y}+{z}\right) \\ $$$$\left………{case}\:\:{i}\right) \\…