Number Of Solution Of The Equation Tan x + Sec x = 2 Cos x. lying In The Interval [0, 2π] Is   

The general solution of the equation six – 3sin2x + sin3x = cosx – 3cos2x + cos3x is

Let k = 1°, then 2 sin 2k + 4 sin 4k + 6 sin 6k +.....+ 180 sin 180k is equal to

If x, y > 0, then the range of 

Number of solution of the equation  belonging to the interval (0, 1) is

The number of solution of  

If times the sum of first n natural numbers is equal to sum of the squares of first n natural numbers. 

If k­₁ = sin x cos³ x and k₂ = cos x sin³ x then

 then ordered pair (x, y) is equal to

The arithmetic mean of the roots of the equation 4 cos³ x – 4 cos² x – cos (π + x) – 1 = 0 in the interval (0, 315) is equal to