Show that 2sin x+tan x>=3x where 0

Show that 2sin x+tan x>=3x, where0<=x<(pi)/(2)

Show that 5x<=8sin x-sin2x<=6x for 0<=x<=(pi)/(3)

Show that 2x>3sin x-x cos x,0

Show that sin^2 20^@+sin^2 70^@=1

Consider the following statements : 1. There exists no value of x such that 1/(1-sinx)=4+2sqrt3,0ltxltpi/2 2. sinx=3^(sin^2x) does not hold good for any real x. Which of the above statements is/are correct?

Show that 2 sin x + tanx ge 3x , where 0 le x lt (pi)/(2)

Prove that (i) sin^(2)0lt 0sin(sin)) for 0lt0ltpi/2 (ii) cos(sinx)gt sin(cosx),0ltxltpi/2. (iii) (a+b)^(p) lea^(p), a, bgt0,0ltplt1 .

Find f'(x), if f(x)=(sinx)^(sinx) for all 0ltxltpi .

If sin theta- cos theta=0 then show that sin^4 theta+cos^4 theta=1/2