Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Consider the equation for 0 ≤ θ ≤ 2 π ; 
− 5 = cos 
. If greatest value of θ is 
(k, p are coprime), then find the value of (k + p).
Text Solution
Verified by ExpertsThe correct answer is:
31
(31)
–5 = cos 
⇒ 4 
– cos( 
) –5 = 0
4 cos 2 
– cos 
– 5 = 0 ⇒ cos 
= 
, –1 ⇒ cos 
= –1 = cos π
= 2n π ± π ⇒ 2 θ = 
– 2n π 
π ⇒ θ = 
⇒ θ = 
, 
.
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