If `sinalpha-cosalpha=1/5` then `tan(alpha/2)=`

If sinalpha+cosalpha=(1)/(5), find tan((alpha)/(2)).

If sin.alpha/2+cos.alpha/2=1.4, then: sinalpha=

If A(alpha)=[{:(cosalpha,sinalpha),(-sinalpha,cosalpha):}] then prove that A(alpha)A(-alpha)=I .

If A_(alpha)=[(cosalpha,sinalpha),(-sinalpha,cosalpha)] then (A_(alpha))^2=?

Answer the following questions.If f(alpha)=[[cosalpha,-sinalpha,0],[sinalpha,cosalpha,0],[0,0,1]] then f(-alpha)

(1-cos alpha)/(sinalpha)=tan(alpha/2)

(a+2)sinalpha+(2a-1)cosalpha=(2a+1)iftan alpha is

If A_(alpha)=[{:(cosalpha,sinalpha),(-sinalpha,cosalpha):}] , then prove that A_(alpha)A_(beta)=A_(alpha+beta) .

If 5tanalpha=4 , show that (5sinalpha-3cosalpha)/(5sinalpha+2cosalpha)=1/6

If (2sinalpha)/(1+cosalpha +sinalpha)=y , then prove that (1-cosalpha+sinalpha )/(1+sinalpha) is also equal to y.