If `sin theta=x+a/x" for all "x in R - {0}` , then which one of the following is correct ?

If y = sin (l n x) , then which one of the following is correct ?

If x cos theta + y sin theta =2 and x cos theta - y sin theta =0 , then which one of the following is true ?

If x sin ^(3) theta + y cos ^(3) theta = sin theta cos theta and x sin theta = y cos theta, then which one of the following is correct ?

Let f(x) be a non negative continuous and bounded function for all xge0 .If (cos x)f(x) lt (sin x- cosx)f(x) forall x ge 0 , then which of the following is/are correct?

If x=sin ^(2) theta + cosec ^(2) theta, then which one of the following is correct ?

If x^(2) - px + 4 gt 0 for all real value of x,then which one of the following is correct ?

If x = (sec^(2) theta - tan theta)/(sec^(2) theta + tan theta) , then which one of the following is correct ?

If f(x)=sin x,x in [-pi//2,pi//2] then which one of the following is not correct ?