If `sin2x=cos3x` and `0 leq x lt pi/2` then `x=`

Solve sin 3x = cos 2x. (0 lt x lt 2pi).

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

If sin x=(sqrt(5))/(3) " and " 0 lt x lt .(pi)/(2) find the values of (i) " sin " 2x " ""(ii) cos 2x "" ""(iii) tan 2x "

If : sin x +cos x = sin 2 x + cos 2 x , "where" 0 lt x le (pi)/(2), "then x":=

The angle between the curves y=sin x and y = cos x, 0 lt x lt (pi) /(2) , is

The angle between the curves y=sin x and y = cos x, 0 lt x lt (pi)/(2) , is

If 1 + sin x + sin^2 x + sin ^3 x + ……. to oo = 4 +2 sqrt(3) , 0 lt x lt pi then x=

f(x)={x+2, 0lt=x<2 and 6-x , xgeq2 and g(x)={1+tanx , 0 leq x lt pi/4 and 3-cotx , pi/4 leq x lt pi . find fog and discuss the continuity and differentiabillity of fog.