Question
Download Solution PDFThe value of ordinate of the graph of y = 2 - sin x lies in the interval
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The cartesian coordinate obtained by measuring parallel to the y-axis.
Calculation:
Given: y = 2 - sin x
The function sin x has all real numbers in its domain, but Range is -1 ≤ sin x ≤ 1 or -1 ≤ -sin x ≤ 1.
-1 ≤ -sin x ≤ 1
Adding 2 both sides, we get
⇒ 2 - 1 ≤ 2 - sin x ≤ 2 + 1
⇒ 1 ≤ y ≤ 3
∴ y ∈ [ 1 , 3 ]
The correct option is 1.
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