If `abs(cos theta{sin theta+sqrt(sin^2theta+sin^2alpha)})lek`, then the value of k

If | cos theta{ sin theta + sqrt( sin^(2) theta + sin^(2) alpha)}|le k , then the value of k is

Show that the expression cos theta(sin theta+sqrt(sin^(2)theta+sin^(2)alpha)) always lies between the values of +-sqrt(1+sin^(2)alpha)

Prove that cos theta(sin theta +-sqrt(sin^(2) theta+ sin^(2) alpha)) always lies between +- sqrt(1+sin^(2) alpha) .

If (cos theta)/(1+sin theta)-(1-sin theta)/(cos theta)=2k then the value of k is :

The minimum and maximum values of expression y=cos theta(sin theta+sqrt(sin^(2)theta+sin^(2)alpha))

If cos theta+sin theta=sqrt(2)sin theta then sin theta-cos theta is

If 2cos theta - sin theta = 1/sqrt(2), (0^(@) lt theta lt 90^(@)) then the value of 2sin theta + cos theta is:

If cos theta + sin theta =sqrt2 cos theta , then the value of (cos theta -sin theta)/(sin theta) is