Question

cos 45⁰+tan45⁰/1-cos^245⁰​

Answer 1

Answer: 2+√ 2

Step-by-step explanation:

1/√2 + 1/1 -(1/√2)² = 2(1+√2)/√2

On rationalising, 2+√2

Answer 2

☆ Hey mate ,

Here the value of above functions is

$cos45 = \frac{1}{ \sqrt{2} } \\ \\ tan45 = 1 \\ \\ so \: \\ \\ \frac{cos45 + tan45}{1 - {cos}^{2}45 } \\ \\ = \frac{ \frac{1}{ \sqrt{2} } + 1}{1 - {( \frac{1}{ \sqrt2} )}^{2} } \\ \\ take \: lcm \: \\ \\ = \frac{( \frac{1 + \sqrt{2} }{ \sqrt{2} }) }{1 - ( \frac{1}{2} )} \\ \\ = \frac{( \frac{1 + \sqrt{2} }{ \sqrt{2} }) }{ (\frac{2 - 1}{2}) } \\ \\ = \frac{( \frac{1 + \sqrt{2} }{ \sqrt{2} } )}{( \frac{1}{2}) } \\ \\ = (\frac{1 + \sqrt{2} }{ \sqrt{2} } ) \times ( \frac{2}{1} ) \\ \\ = (1 + \sqrt{2} ) \times ( \sqrt{2} ) \\ \\ = \sqrt{2} + 2 \\ \\ = 2 + \sqrt{2}$

I hope it will help you....

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