Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Find the number of integral values of a for which the equation cos 2x + a sin x = 2a − 7 possesses a solution.
Text Solution
Verified by ExpertsThe correct answer is:
5
(5)
cos2x + a sinx = 2a – 7 ⇒ 1 – 2sin 2 x + asinx = 2a – 7
⇒ 2sin2x – asinx + 2 (a –4) = 0............(1)
⇒ sinx = 
= 
= 
= 
, 
⇒ sinx = 
⇒ 
⇒ 
⇒ a = 2,3,4,5,6
∴ No. of solutions = 5
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