Question

cosx+sinx =
$\sqrt{2 }$
​

Answer 1

Answer:

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Answer 2

Answer:

cosx+sinx=√2

on dividing both sides with √2

1/√2(cosx+sinx)=1

1/√2cosx+1/√2sinx=1

sinπ/4=cosπ/4=1/√2

so,sinπ/4cosx+cosπ/4sinx=1

sin(π/4+x)=1

π/4+x=π/2

x=π/4