Question

solve the equation sin theeta +cos theeta =root2

Answer 1

sinΦ + cos Φ = √2

let , Φ = 45°

sin45° + cos45°

1/√2 + 1/√2

2/√2

√2

Proved...

Answer 2

sin∅+cos∅=√2
squaring both sides
sin²∅ +cos²∅ + 2sin∅cos∅= 2
1 + sin2∅ = 2
sin2∅ = 1
2∅= 90
∅= 45°