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If 5cos theta=7sin theta find 7sin …

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If 5cos theta=7sin theta find 7sin theta+ 5cos theta÷ 5sin theta + 7 cos theta

Posted by Ritu Gitte 6 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Ram Kushwah 6 years, 6 months ago

{tex}\begin{array}{l}\frac{7\sin\;\theta+\;5\cos\theta}{\;5\sin\theta\;+\;7\;\cos\;\theta}=\frac{7\sin\;\theta+7\sin\;\theta}{7\sin\;\theta+{\displaystyle\frac{\;7\times5}5}\cos\theta}\\=\frac{\displaystyle14\sin\;\theta}{7\sin\;\theta+{\displaystyle\frac75}\times7\sin\;\theta}=\frac{70\sin\;\theta}{7\sin\;\theta+49\sin\;\theta}\\=\frac{\displaystyle70\sin\;\theta}{\displaystyle56\sin\;\theta}=\frac{70}{56}=\frac54\end{array}{/tex}

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CBSE > Class 10 > Mathematics