If exp. `{(sin^2x+sin^4x+sin^6x+…inf.) In2}` satisfies the equation `x^2-9x+8=0` find the value off `(cosx)/(cosx+sinx), 0ltxlt pi/2`

If exp [sin^(2)x+sin^(4)x+sin^(6)x+….infty)ln 2] satisfies the equation y^(2)-9y+8=0 and the value of (cosx)/(cos x+sin x),0 lt x lt (pi)/(2) is (1)/(1+sqrt(k)) then the value of k is _________

If e^((sin^(2)x+sin^(4)x+sin^(6)x+...oo)ln2) satisfies the equation x^(2)-9x+8=0 find the value of (cos x)/(cos x+sin x),0

If exp [(sin^(2)x+sin^(4) x +sin^(6)x+.... oo)" In" 2] satisfies the equation y^(2)-9y+8=0 , then the value of (cos x )/( cos x+ sin x ),0 lt x lt (pi)/(2) , is

If exp(sin^(2)x+sin^(4)x+sin^(6)x....... upto oo)log_(e)2 satisfies the equation x^(2)-17x+16=0 then the value of (2cos x)/(sin x+2cos x),(0

If 0ltxlt(pi)/(2) exp [(sin^(2)x+sin^(4)x+sin^(6)x+'.....+oo)log_(e)2] satisfies the quadratic equation x^(2)-9x+8=0 , find the value of (sinx-cosx)/(sinx+cosx) .

Statement -1:If exp {("sin"^(2)x + "sin"^(4)x + "sin"^(6)x +…)"log"_(e)2] " satisfie the equation" x^(2)-9x +8=0, "then " ("cos"x)/("cos" x + "sin"x) = (sqrt(3)-1)/(2), 0 lt x lt (pi)/(2) . Statement-2: The sum "sin"^(2) x + "sin"^(4)x + "sin"^(6) x + .... oo is equal to "tan"^(2)x

If e^(( cos^2 x + cos^4x+ cos ^6 x + ……..oo ) log_e 2) satisfies the equation t^2 - 9t + 8=0 , then the value of ( 2 sin x)/( sin x + sqrt(3) cos x) ( 0 lt x lt (pi)/(2)) is