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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: trigo
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iitaspirant10 (111)

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If tan3A = 3/4 , find the value of 3cosecA - 4secA


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iitaspirant10 (111)

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eq=\text{To find $\frac{3}{\sin A}-\frac{4}{\cos A}$}


eq=\text{$\sin3A=\frac{3}{5}\Rightarrow3=5\sin3A$}


eq=\text{$\cos3A=\frac{4}{5}\Rightarrow4=5\cos3A$}


eq=\text{$5\left(\frac{\sin3A}{\sin A}-\frac{\cos3A}{\cos A}\right)$}


eq=\text{$5\left(\frac{\sin3A\cos A-\cos3A\sin A}{\sin A\cos A}\right)$}


eq=\text{$=10$}


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