Question

Sin45degrees+cos45degrees​

Answer 1

Answer:

$\sqrt{2}$

Explanation:

$= \frac{1}{ \sqrt{2} } + \frac{1}{ \sqrt{2} }$

$= \frac{1 + 1}{ \sqrt{2} }$

$= \frac{2}{ \sqrt{2} }$

$= \sqrt{2} ( \frac{ \sqrt{2 \times \sqrt{2} } }{ \sqrt{2} } )$

Answer 2

$sin \: 45 \degree \: + cos \: 45 \degree \\ = \frac{1}{ \sqrt{2} } + \frac{1}{ \sqrt{2} } \\ \\ = \frac{1 + 1}{ \sqrt{2} } \\ \\ = \frac{2}{ \sqrt{2} } \\ \\ = \frac{2}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } \\ \\ = \frac{2 \sqrt{2} }{ { (\sqrt{2} )}^{2} } \\ \\ = \frac{ \not2 \sqrt{2} }{ \not2} \\ \\ = \sqrt{2}$

$sin \: 45 \degree = \frac{1}{ \sqrt{2} } \\ \\ cos \: 45 \degree = \frac{1}{ \sqrt{2} }$