In the interval `[-pi/4, pi/2]`, the equation, `cos 4x + (10 tanx)/(1+tan^2x)=3` has

On the interval (pi/4,pi/2) , the function tan^-1 (sinx + cos x) is

The number of solutions of x in the interval [-pi, pi] of the equation (1+cot267^(@)) (1+tan222^(@)) = sec^(2)x + cos^(2)x is

The number of solutions of x in the interval [-pi, pi] of the equation (1+cot267^(@)) (1+tan222^(@)) = sec^(2)x + cos^(2)x is

In which of the following intervals the inequality, sinx < cos x < tanx < cot x can hold good ? (a) ((7pi)/4,2pi) (b) ((3pi)/4,pi) (c) ((5pi)/4,(3pi)/2) (d) (0,(pi)/4)

In which of the following intervals the inequality, sinx < cos x < tanx < cot x can hold good ? (a) ((7pi)/4,2pi) (b) ((3pi)/4,pi) (c) ((5pi)/4,(3pi)/2) (d) (0,(pi)/4)

f(x)=cos2x, interval [-(pi)/(4),(pi)/(4)]

Ascending order of number of solutions in the given interval of the following equations. (A) sin x = -1 in (0, 4pi) (B) cos x =-1//2 in (0, 4pi) (C ) tan x =-1 in (0, 6pi) (D) tan x = 1 in (0, pi//2)

The number of solutions of the equation cos 6 x + tan^(2) x + cos 6 x tan ^(2) x = 1 , in the interval [0, 2 pi] is

The sum of all the solution in [0,4 pi] of the equation tan x+cot x+1=cos(x+(pi)/(4))is (a) 3 pi(b)(pi)/(2)(c)(7 pi)/(2) (d) 4 pi

Find the interval for which the function f(x) = tanx- 4 (x- 2) is increasing and decreasing in (-pi/2,pi/2) .