If cos x = 24/25, 0 ≤ x ≤ 90°, then the value of cot x + cosec x is :

cosx =  \(\frac{24}{25}\)

{ cosx =  \(\frac{B }{H}\) }

P² + B² = H²

P² + 24² = 25²

P = 7

Now,

cot x + cosec x

= \(\frac{B }{P}\) +  \(\frac{H }{P}\)

= \(\frac{24 }{7}\) +  \(\frac{25 }{7}\)

= \(\frac{49}{7}\)

= 7