Question

25cosec
$2 5csc^{2} x+ sec^{2} x$
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Answer 1

Step-by-step explanation:

(25 cosec²x + sec²x)

We know that:

cosec²x = 1 + cot²x

sec²x = 1 + tan²x

So,

=25(1 + cot²x) + (1 + tan²x)

= 26 + (25cot²x + tan²x)

∴ Minimum value = 26 + 2√(25 × 1) = 26 + 10 = 36