if `(sin1^@+sin3^@+sin5^@+sin7^@)/(cos1^@.cos2^@.cos4^@)+ktan theta^@` when `k in I` and `theta in (90,180)` where `theta` is in degrees then the value of `k+8` is equal to

if 1^(@)+sin3^(@)+sin5^(@)+sin7^(@)(sin1^(@)+sin3^(@)+sin5^(@)+sin7^(@))/(cos1^(@)*cos2^(@)*cos4^(@))+k tan theta^(@) when k in I and theta in(90,180) where theta is in degrees then the value of k+8 is equal to

If sin theta+cos theta=1, then the value of sin2 theta is equal to

If sin theta+cos theta=1 then the value of sin 2 theta is equal to

If 4 sin(60^(@) + theta ) sin (60^(@) - theta )-1=k cos 2 theta , the value of k is

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

If sin theta+cos theta=1, then sin theta cos theta is equal to :

If 3sin theta-4cos theta=5 and 4sin theta+3cos theta=k, then k^(2) is equal to