Question

The value of tan 3α cot α cannot lie in

Solution

Correct option is

]1/3, 3[

   

                        

    

Since tan2 α is non – negative, either x < 1/3 or x ≥ 3, so x cannot lie between 1/3 and 3.

SIMILAR QUESTIONS

Q1

  is equal to

 

Q2

 of k is equal to

 

Q3

If A and B are acute positive angles satisfying the equation 3 sin2 A + 2 sin2B = 1 and 3 sin 2A – 2 sin2B = 0, then A + 2B is equal to

 

Q4

  equal to

Q5

 

 

Q6

 to

Q7
Q8

    

Q9

If θ and ∅ are acute angles such that sin θ = 1/2 and cos ∅ = 1/3 and cos ∅ = 1/3, then θ + ∅ lies in

Q10

For a given pair of values x and y satisfying x = sin αy = sin β, there are four different values of z = sin (α + β) whose product is equal to