Question
Download Solution PDFThe number of integer values of k, for which the equation 2sinx = 2k + 1 has a solution, is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The minimum and maximum value of a sin x + b cos x
-
Calculation:
As we know, -
⇒ -
⇒ -2 ≤ 2sin x ≤ 2
⇒ -2 ≤ 2k + 1 ≤ 2
⇒ -3 ≤ 2k ≤ 1
⇒ -1.5 ≤ k ≤ 0.5
k = 0, -1
Hence, Option 3 is correct.
Last updated on May 30, 2025
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