if `f:[-20,20]->R` deefined by `f(x)=[x^2/a]sinx+cosx` is an even fucntion, then set of values of `a` is

if f:[-20,20]rarr R deefined by f(x)=[(x^(2))/(a)]sin x+cos x is an even fucntion,then set of values of a is

f(x) = e^(sinx+cosx) is an increasing function in

If f:[-pi//2,pi//2] cupR given by f(x)=cosx+sin[(x+1)/(lambda)] is an even function. Then the set of values of lambda(lambda gt0) is Here, [*] denotes the greatest integer function.

Maximum value of f(x)=sinx+cosx is :

If the real-valued function f(x) = px + sinx is a bijective function, then the set of all possible values of p in R is

If f:R to R be defined by f(x) =2x+sinx for x in R , then check the nature of the function.

If f(x) = -4sinx+cosx for x =pi/2 is continuous then

The range of f(x)=cosx-sinx is

Let a function f:R to R be defined by f(x)=2x+cosx+sinx " for " x in R . Then find the nature of f(x) .