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Question
The range of the function y = `1/(2 - sin3x)` is ______.
Options
`(1/3, 1)`
`[1/3, 1)`
`[1/3, 1]`
`(1/3, 1]`
MCQ
Fill in the Blanks
Solution
The range of the function y = `1/(2 - sin3x)` is `underlinebb([1/3, 1].`
Explanation:
y = `1/(2 - sin3x)`
–1 ≤ sinθ ≤ 1
–1 ≤ sin3x ≤ 1
1 ≥ –sin3x ≥ –1
3 ≥ 2 – sin3x ≥ 1
`1/3 ≤ 1/(2 - sin3x) ≤ 1`
∴ Range = `[1/3, 1]`
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