Question

Answer this question correctly in general solution .
$\sin(x) + \cos(x) = \sqrt{2}$
please please please answer

Answer 1

Step-by-step explanation:

Sinx + cosx = √2

sinx + cosx - √2 = 0

-√2 + sin(π/4 + x)√2 = 0

sin(π/4 + x) = √2/2

sin(π/4 + x) = 1

sin(π/4 + x) = π/2 + 2πn

x = 2πn + π/4

x = 8πn + π/4

x = (8n + 1)π/4.

Hope it helps you.

#Be brainly

Answer 2

Hi mate here is ur query..

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Multiplying by 1/√2 on both sides

we find

sinx(1/√2 )+cosx (1/√2 ) =1

or sinx*cos(π/4) + cosx* sin(π/4)= sin(π/2)

or sin(x+π/4) = sin(π/2)

or x+(π/4)= 2nπ+π/2

or x= 2nπ+π/4

general solution

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Hope this will help you.