Question

Sin theta +cos theta =√2 ,find the value of theta

Answer 1

Answer:

sin θ + cos θ = √2

Squaring on both sides,

(sin θ + cos θ)² = √2²

sin²θ + cos²θ + 2sinθ.cosθ = 2

1 + 2sinθ.cosθ = 2

2sinθ.cosθ = 2-1

2sinθ.cosθ = 1

sinθ.cosθ = ½

sinθ.cosθ = (1/√2) × (1/√2)

sinθ = cos θ = 1/√2

θ = 45°

Step-by-step explanation:

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