The Smallest Positive Number P For Which The Equation           has A Solution 

Number of solutions of the equation tan x + sec x = 2 cos x lying in the interval [0, 2π] is

The value of the determinant   

is zero if

 then roots of f (x) = 0 are

The arithmetic mean of the roots of the equation 

In the interval (0, 315) is equal to

The values of x between 0 and 2π which satisfy the equation  are in A.P. The common difference of the A.P. is

The equation (cos p – 1)x² + (cos p)x + sin p = 0 where x is a variable, has real roots if p lies in the interval

The solution of 

Number of solutions of pair x, y of the equation sin x sin y = min

{ –1, α² – 4α + 5}, α Ïµ R