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

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 4\ cos^(-1)x+sin^(-1)x=pi , then the value of x is (a) 3/2 (b) 1/(sqrt(2)) (c) (sqrt(3))/2 (d) 2/(sqrt(3))

The value of x in (0, (pi)/(2)) satisfying (sqrt(3) - 1)/(sin x) + (sqrt(3) + 1)/( cos x) = 4 sqrt(2) is

If f(x)=int_0^sinx cos^-1t dt+int_0^cosx sin^-1t dt, 0ltxltpi/2 , then f(pi/4)= (A) 0 (B) pi/sqrt(2) (C) 1 (D) pi/(2sqrt(2))

The value of x in (0,(pi)/(2)) satisfying (sqrt(3)-1)/(sin x)+(sqrt(3)+1)/(cos x)=4sqrt(2) is / are

The value of x in (0,(pi)/(2)) satisfying the equation,(sqrt(3)-1)/(sin x)+(sqrt(3)+1)/(cos x)=4sqrt(2) is

The value of int_(0)^(sin^(2)) sin^(-1)sqrt(t)dt+int_(0)^(cos^(2)x)cos^(-1)sqrt(t)dt , is

If cos^-1(sqrt3x) and cos^-1 xare two angles of a right angled triangle, then x= (A) 1/sqrt(6) (B) 0 (C) sqrt(3)/2 (D) 1/2