Question

Find general solution:
Sinx + cosx = 1

Answer 1

Step-by-step explanation:

1/√2sinx+1/√2cosx=1/√2

sinxcosΠ/4+cosxsinΠ/4=sinΠ/4

sin(x+Π/4)=sinΠ/4

x+Π/4=nΠ+(-1)^nΠ/4

x=nΠ-Π/4+(-1)^nΠ/4