Question
Download Solution PDFWhat are the minimum and the maximum values of (12sin X + 5cos X) respectively?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
12sin X + 5cos X
Concept Used:
Minimum value of a sinθ + b cosθ = -√(a2 + b2)
Maximum value of a sinθ + b cosθ = √(a2 + b2)
Calculation:
Minimum value of 12sin X + 5cos X = -√(a2 + b2)
⇒ -√(122 + 52)
⇒ -13
Maximum value of 12sin X + 5cos X = √(a2 + b2)
⇒ √(122 + 52)
⇒ 13
∴ The minimum and maximum value of 12sin X + 5cos X is -13 and 13 respectively.
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