Find the greatest and least value of `asintheta+bcostheta`

Find the least and greatest values of the distance of the point (costheta,sintheta),theta in R , from the line 3x-4y+10=0.

The difference between the greatest and least values of the function f(x)=cosx+1/2cos2x-1/3cos3x , is

Find the least value of (2 sin^(2)theta+3 cos^(2)theta) .

If abs(z+(1/z))=a where z is a complex number find the least and the greatest values of abs(z) also find a for which the greatest and the least values of abs(z) are equal

If 0 < theta < pi/2 then find the least value of tantheta+cottheta

Find the greatest and the least value of |z_1+z_2| if z_1=24+7i and |z_2|=6.

If Z is a complex number |Z+3|le5 .then find the greatest and smallest value of |Z+1|.

write the greatest and least number of 8 digits with the digits given 7,3,2,1,9,5,6,0

write the greatest and least number of 8 digits with the digits given 6,4,8,5,1,2,0,3

If tan theta=a/b ,then which of the following is the value of (asin theta+bcostheta)/(asintheta-bcostheta)?