Question

1+cos/sin-sin/1+cos= 2cot​

Answer 1

Mark it as brainliest if you are satisfied

Answer 2

$\boxed{\huge{Question:}}$

$1 + \frac{cos}{sin} - \frac{sin}{1 + cos} = 2cot$

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$\boxed{\huge{\red{Answer}}}$

$\huge{L.H.S}$

$\frac{1 + cos}{sin} - \frac{sin}{1 + cos} \\ \\ \frac{1 + {cos}^{2} + 2cos - {sin}^{2} }{sin(1 + cos)} \\ \\ \frac{2cos+2{cos}^{2}}{sin(1 + cos)} \\ \\ \frac{2cos(1+cos)}{sin(1+cos)} \\ \\ \frac{2cos}{sin} \\ \\ 2cot$

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$\boxed{\huge{\red{L.H.S=R.H.S}}}$

$\longrightarrow{\huge{Hence\:proved}}$

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$\boxed{\huge{\red{Hope\:it\:helps}}}$

$\boxed{\huge{\green{Mark\:as\: brainliest}}}$

$\boxed{\huge{\blue{@Devanshu1973}}}$

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