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

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 e^((cos^2x+cos^4+cos^x……)log3) satisfies the equation t^2-8t-9=0 then the value of tnx,(0ltxltpi/2) is (A) sqrt(3) (B) sqrt(2) (C) 1 (D) 1/sqrt(2)

If tan x = 1, 0 lt x lt 90^(@) , then what is the value of 2 sin x cos x?

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 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

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