Question

The minimum value of cosecx, x ∈[π/6,π/3] is......,Select correct option from the given options.
(a) 2
(b) 2/√3
(c) π/6
(d) π/3

Answer 1

hey in cosec¢ when ¢ is increase then value is decrease.

so minimum value of cosec¢=cosec60

so we get 2/√3

Answer 2

Answer:

(d) π/3

Step-by-step explanation:

Value of Sinx increases from 0 to 1 value for x value 0 to π/2.

Therefore, the value of Cosecx will decrease from ∞ to 1 value for x value 0 to π/2.

Now, in our case, x∈{π/6, π/3} i.e the value of x is between π/6 and π/3.

Hence, Cosec x will be minimum when x is maximum i.e. π/3.

Therefore, option (d) is correct.