Find the value of X in all the parts

Find the values of p if it satisfy, cos theta = x + p/x, x in R for all real values of theta .

Find the values of p if it satisfy, cos theta = x + p/x, x in R for all real values of theta .

Find the values of p if it satisfy, cos theta = x + p/x, x in R for all real values of theta .

Find the values of a for which the expression (ax^2+3x-4)/(3x-4x^2+a) assumes all real values for all real values of x

Find the values of the following integrals (where [.] is gif and {.} is fractional part) Evaluate the following int_(0)^(50)(x-[x])dx

Find all the values of x such that -8pilexle8piandsinx=-1

Find all the values of x such that -10pilexle10piandsinx=0

Find all the values of x such that -6pilexle6piandcosx=0