If ` sin alpha , 1 , cos 2 alpha ` are in GP, then find the general solution for ` alpha `

If 32 tan^8 theta= 2 cos^2 alpha-3 cos alpha and 3 cos 2 theta=1 , then find the general value of alpha .

If A=[(cos alpha, -sin alpha),(sin alpha, cos alpha)] and A+A^(T) =l , write down the general values of alpha .

If A=[{:(cos alpha,sin alpha),(-sin alpha, cos alpha):}] and A^(-1)=A ' then find the value of alpha .

If (2 sin alpha)/(1 + cos alpha + sin alpha) = 3/4 , then the value of (1 + cos alpha + sinalpha)/(1 + sin alpha) is equal to

If (2 sin alpha)/(1 + cos alpha + sin alpha) = 3/4 , then the value of (1 - cos alpha + sinalpha)/(1 + sin alpha) is equal to

If (2sin alpha) / ({1 + cos alpha + sin alpha}) = y, then ({1-cos alpha + sin alpha}) / (1 + sin alpha) =

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

If cos alpha, sin alpha and cot alpha are in G.P. show that tan^(6)alpha- tan^(2)alpha=1

If y = (2 sin alpha )/(1 + cos alpha + sin alpha) then, prove that (1 - cos alpha + sin alpha)/(1 + sin alpha) = y .