It is known that sina = 2cosa. Find the value of sin2a + 2sinacosa

It is known that sina = 2cosa. Find the value of sin2a + 2sinacosa

According to double angle formula and universal formula
Because Sina = 2cosa, Tana = 2
sin2a+2sinacosa=sin2a+sin2a=2sin2a=2*[2tan(a)]/{1+[tan(a)]^2}=2*[2*2]/{1+2^2}=2*4/5=8/5