Find the minimum value of sinθ + cosθ.
Find the minimum value of sinθ + cosθ. Correct Answer -√2
Given:
sinθ + cosθ
Concept Used:
Minimum value of a sinθ + b cosθ is -√(a2 + b2)
Calculation:
Minimum value of sinθ + cosθ = -√(12 + 12)
⇒ -√2
∴ The minimum value of sinθ + cosθ is -√2.
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Feb 20, 2025