The larger of sin x+ tan x,2x in `0 lt xlt pi//2` is

If the value of greater of sin x + tan x and 2x (0 lt x lt pi//2) " at" pi//4 " is " g(pi//4) " then " g(pi//4) is equal to

Solve the following equations : 2tan^(-1) (sin x) = tan^(-1) (2sec x ,) 0 lt x lt pi/2

Let f(x) = {:{( sin x +cos x, 0 lt x lt (pi)/(2) ),( a, x = pi//2) , ( tan ^(2) x + cosecx , pi//2lt xlt pi ):} then its odd extension is

What is the sign of cos( x/2) – sin(x/2) when (i) 0lt x lt pi/4 (ii) (pi)/(2)lt xlt pi

If sin x + cos x + tan x + cot x + sec x + cosec x = 7, 0 lt x lt pi//2 and sin = 2x=a-b sqrt(7) then (a, b in Z^(+))

simplify : tan^(-1) ""((a cos x- b sin x )/(b cos x + a sin x ) ) (- pi )/(2) lt x lt pi/2 , a/b tan x gt -1

Draw the graph of tan x as x increase from 0 to 2 pi and use it to find a solution of the equation tan x =1, where 0 lt xlt pi

0 <= x <= 2 pi, 0 <= y <= 2 pi and sin x + sin y = 2, quad 0 <= x <= 2 pi, 0 <= y <= 2 pi and sin x + sin y = 2, then x + y =