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Question Number 174804 by Kallu last updated on 11/Aug/22

$$Pleasesolve.$$

Commented by Kallu last updated on 11/Aug/22

Commented by ajfour last updated on 12/Aug/22

$$3.25\cos \theta -\sin \theta =2(=\sqrt{{\left(\sqrt{3}\right)}^2+1^2})$$$$\Rightarrow 13\cos \theta -4\sin \theta =8$$$$\Rightarrow 13-4\tan \theta =8\sqrt{1+\tan {}^2\theta }$$$$sayt=\tan \theta$$$$169+16t^2-104t=64+64t^2$$$$48t^2+104t-105=0$$$$t=\frac{52}{48}\pm \frac{\sqrt{{52}^2+105\times 48}}{48}=\frac{52\pm 88}{48}$$$$fort>0,t=\tan \theta =\frac{35}{12}$$$$$$

Commented by Tawa11 last updated on 12/Aug/22

$$\mathrm{Great}\mathrm{sir}$$

Commented by Kallu last updated on 12/Aug/22

$$ThecorrectanswerisoptionA$$$${\tan }^{-1}\frac{3}{4}$$

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