Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If tan 
+ 4 sin 
= λ , then the value of 1 + λ 2 + λ 4 + λ 6 must be…………..
Text Solution
Verified by ExpertsThe correct answer is:
1464
Ans. 1464
Sol. λ = tan 
+ 4 sin 
λ = 
λ 2 cos 2 
= sin 2 
+ 16 sin 2 
cos 2 
+ 8
sin 
sin 
cos 
= 2sin 2 
+ 32 sin 2 
cos 2 
+8 sin 
sin 
= 
+ 32 
+ 4
= 9 + 7cos 
– 4 cos 
– 8 cos 
cos 
– 4 cos 
= 9 + 7 cos 
– 4 cos 
– 4
– 4 cos 
= 9 + 11 cos 
– 4 ×
= 9 + 11 cos 
– 
= 9 + 11 cos 
– 2 
⇒ 9 + 11 cos 
+ 2
= 11 
= 11 
λ 2 2cos 2 
= 11 
λ 2 = 11
1 + λ 2 + λ 4 + λ 6 = 1 + 11 + 121 + 1331 = 1464
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