if f(x)=`sinx + cosx for 0 < x < pi/2`

Separate the intervals of monotonocity for the function f(x)=sinx+cosx ,x in (0,2pi)

Discuss the extremum of f(x)=sinx(1+cosx),x in (0,pi/2)

Find the period of the following function (i) f(x) =|sinx|+|cosx| (ii) f(x)=cos(cosx)+cos(sinx) (iii) f(x)= (|sinx+cosx|)/(|sinx|+|cosx|)

Find the value of x for which f(x)=sqrt(sinx-cosx) is defined, x in [0,2pi)dot

Find the range of f(x)=|sinx|+|cosx|,x in Rdot

If f(x)=sinx+cosx and g(x)=x^2-1 , then g(f (x)) is invertible in the domain .

If f(x)=sinx+cosx and g(x)=x^2-1 , then g(f (x)) is invertible in the domain .

If f(x)=|sinx|+|cosx|, then the value f(x)^'a tx=(7pi)/6 is (a)positive (b) (1-sqrt(3))/2 (c)0 (d) none of these

Find intervals of concavity and points of inflexion for the following functions: f(x)=sinx+cosx,0ltxlt2pi