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If 3cos theta-4sin theta =2cos theta+sin …

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If 3cos theta-4sin theta =2cos theta+sin theta? Find tan theta
  • 1 answers

Sia ? 6 years, 6 months ago

{tex} \Rightarrow 3\cos \theta - 4\sin \theta = 2\cos \theta + \sin \theta {/tex}
{tex} \Rightarrow - 4\sin \theta - \sin \theta = 2\cos \theta -3cos \theta {/tex}
{tex} \Rightarrow - 5\sin \theta = - \cos \theta {/tex}
{tex} \Rightarrow 5\sin \theta = \cos \theta {/tex}
{tex} \Rightarrow \frac{{\sin \theta }}{{\cos \theta }} = \frac{1}{5}{/tex}
{tex} \Rightarrow \tan \theta = \frac{1}{5}{/tex}

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