f1 + sin^@0 = 3sine cose , then prove that tane = 1 or .

f1+sin^(^^)@0=3sin e cose , then prove that tane =1 or

If1+ sin^@0 = 3sino coso , then prove that tane = 1 or|-

If sin alpha sin beta-cosalphacosbeta+1=0, then prove that 1+cotalphatanbeta=0

If sin alpha sin beta-cos alpha cos beta+1=0 , then prove that 1+cotalpha tan beta=0 .

If sin alpha sin beta-cosalphacosbeta+1=0, then prove that 1+cotalphatanbeta=0

Let f(x)=sin[pi/6sin(pi/2sinx)] for all x in RR then prove that Range of f " is " [-(1)/(2),(1)/(2)]

f:[0,\ 1]->R is defined as f(x)=[x^3(1-x)sin(1/(x^2))\ \ \ if\ 0

If f: R to [0,∞) be a function such that f(x -1) + f(x + 1) = sqrt3(f(x)) then prove that f(x + 12) = f(x) .

If f(x) = sin^(-1) x then prove that lim_(x rarr (1^(+))/(2)) f(3x -4x^(3)) = pi - 3 lim_(x rarr (1^(+))/(2)) sin^(-1) x

If f(x) = sin^(-1) x then prove that lim_(x rarr (1^(+))/(2)) f(3x -4x^(3)) = pi - 3 lim_(x rarr (1^(+))/(2)) sin^(-1) x