Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If y = (sinx + cosecx) 2 + (cosx + secx) 2 then minimum value of y ∀ x ∈ R is
Text Solution
Verified by ExpertsThe correct answer is:
9
(9)
y = (sin 2 x + cos 2 x) + (2sinx cosec x + 2 cos x sec x) + (cosec 2 x + sec 2 x)
= 5 + (1 + cot 2 x + 1 + tan 2 x)
⇒ 7 + tan 2 x + cot 2 x
∴ 
∴ tan 2 x + cot 2 x ≥ 2
∴ y ≥ 7 + 2
y ≥ 9
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