if `cos^(-1)((1)/(sqrt(2))(cos((7pi)/(5)-sin((2pi)/(5)))=(ppi)/(q)` (where p,q are in lowest form), then value of `(q-p)` is

cos^(-1) (1/sqrt2 (cos ((7pi)/5)-sin((2pi)/5))) is equal to (a pi)/b where a,b in N and a is prime then (b-2a)=

If sin(2cos^(-1)((1)/(sqrt(5))))+cos(2tan^(-1)((1)/(3)))=(p)/(q) where p and q are relatively prime then digit at units place of (p-q)^(2k+1),k in N, can be

The expression log_(2)5-sum_(k=1)^(4)log_(2)(sin((k pi)/(5))) reduces to (p)/(q) where p and q are co-prime,the value of p^(2)+q^(2) is

If 2.5252525…….. =(p)/(q) (in the lowest form) then what is the value of (q)/(p)?

5.if the expression cos^(2)((pi)/(11))+cos^(2)((2 pi)/(11))+cos^(2)((3 pi)/(11))+cos^(2)((4 pi)/(11))+cos^(2)((5 pi)/(11)) has the value equal to p/q in it lowest from ; then find (p+q)

If 2.5252525 " …" = p/q ( in the lowest form ) , then what is the value of q/p ?

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 sum of all the solutions of the equation (4tan x+tan^(2)x+1)=2sqrt(2)sin(x+(pi)/(4))(1+tan^(2)x) in [0,pi] is (p, (pi)/(q)) where p,q are relatively prime number, then find the value of (p+q)

int_(-pi)^(pi) [cos px-sin qx]^(2) dx where p,q are integers is equal to

int_(-pi)^(pi) [cos px-sin qx]^(2) dx where p,q are integers is equal to