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| 1. |
If 3cos theta-4sin theta =2cos theta+sin theta? Find tan theta |
| Answer» {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} | |