If `cos x*cos 2x*cos 4x*cos 8x` for `x = (2pi)/3` is a rational number `p/q` where `p, q in NN.` then the least value of `(p+q)` is

If cos x*cos2x*cos4x*cos8x for x=(2x)/(3) is a rational number (p)/(q) where p,q in N, then the least value of (p+q) is: (A)9(B)17(C)25 (D) 34

Let f(x)=(2x-pi)^(3)+2x-cos x .If the value of (d)/(dx)(f^(-1) (x)) at x=pi can be expressed in the form of (p)/(q) ( where p and q are natural numbers in their lowest form), then the value of (p+q) is

If sin theta=p and cos theta=q then the value of (p-2p^(3))/(2q^(3)-q) is

Consider the equation log_(sqrt(2)sinx) (1 + cos x) = 2, x in [-(pi)/2, (3pi)/2] .If the sum of the roots is (p pi)/(q) , where G.C.D (p,q) = 1 then the value of p^(2) + q^(2) is

Let the exact value of cos((pi)/(7))+cos^(2)((pi)/(7))-2cos^(3)((pi)/(7)) is a rational number in the form (p)/(q), where p and q are integers.Find (p+q)

If equation 6(log_(x)2-log_(4)x)+7=0 has roots x_(1) and x_(2) then log_(2)x_(1)x_(2) is equal to (p)/(q) , where p and q are co-prime numbers, then the value of p+q is equal to

If x^(2)-3 x+2 is a factor of x^(4)-p x^(2)+q , then the values of p and q are

If cos ^(-1) ((2)/( 3x )) + cos ^(-1) ((3 )/( 4x )) = pi/2 (x gt (3)/(4)) and "x" is equal to (sqrtp)/(q), then the value of (p -q) is :-