The extreme values of `a sin theta - bcostheta`

An extreme value of 1+ 4 sin theta +3 cos theta is

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

If 5 tan theta =4 then find the value of (5 sin theta - cos theta)/(sin theta + 3 cos theta)

If sin theta + cos theta =1, the value of sin theta cos theta is

Find the extreme values of cos^(2) theta - sin^(2) theta

6.If btantheta=a the value of (asintheta-bcostheta)/(asintheta+bcostheta)

Find the greatest and least value of asintheta+bcostheta

If (sin theta + cos theta)/(sin theta - cos theta)=3 , then the value of sin^(4)theta - cos^(4)theta is:

If sec theta ( cos theta + sin theta) = sqrt""2 , then what is the value of (2 sin theta )// (cos theta - sin theta ) ?