Show that 2sinx+tanx≥3x, where 0≤x< π/2 ​

Solve tanx >cotx , where x in [0,2pi]dot

Solve tanx >cotx , where x in [0,2pi] .

Show that : x- x^3/6 lt sinx for 0 lt x lt pi/2

If tanx tany=a and x+y=2b show that tanx and tany are the roots of the equation z^2-(1-a)tan2b*z+a=0

Find lim_( xto0) [(3x)/(2sinx + tanx)] where [ . ] denotes the GIF.

Differentiate e^sinx+(tanx)^x with respect to x.

The integral value of n so that lim_(x->0) f(x) where f(x) ={(sinx-x)(2sinx-ln((1+x)/(1-x)))}/x^n is a finite non-zero number

Prove that [lim_(xrarr0) (sinx.tanx)/(x^(2))]=1 ,where [.] represents greatest integer function.

The number of solutions of the equation tan x sin x-1=tanx-sinx, AA in [0, 2pi] is euqal to

Show that the function f(x) given by f(x)={(sinx)/x+cosx ,x!=0 and 2,x=0 is continuous at x=0.