Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Find the general solution of the equation 6 sin 2 θ – 5 cos θ –2
= 0
Text Solution
Verified by ExpertsThe correct answer is:
6
Sol. 6 sin 2 θ – 5 cos θ – 2 = 0
⇒ 6(1 – cos 2 θ ) – 5 cos θ – 2 = 0
⇒ 6 cos 2 θ + 5 cos θ – 4 = 0
⇒ 6 cos 2 θ 8 cos θ – 3 cos θ – 4 = 0
⇒ 2 cos θ (3 cos θ + 4) – (3 cos θ + 4) = 0
⇒ (2 cos θ – 1) (3 cos θ + 4) = 0
⇒ cos θ = 
cos θ = – 
cos θ = cos 
(not possible)
θ = 2n π ± 
, n ∈ I
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