Question

solve sin x+cos x=√2​

Answer 1

Step-by-step explanation:

Given that, sinx−cosx=

2

⇒

2

1

sinx−

2

1

cosx=1

sin45

∘

sinx−cos45

∘

cosx=1

⇒cos(x+

4

π

)=−1

⇒cos(x+

4

π

)=cos(π)

⇒x+

4

π

=2nπ+π

⇒x=2nπ+

4

3π