Let `theta=(pi)/(24)` and `(1)/(tan^(2)theta)-tan^(2)theta=sqrt(p)+sqrt(q)(p>q)p,q in N` then the value of `sqrt(p-q)` is

If p cos c theta+q cot theta=2 and p^(2)cos ec^(2)theta-q^(2)cot^(2)theta=5 then the value of sqrt(81p^(-2)-q^(-2)) is

If sin theta-cos theta=(1)/(2) and sin^(3)theta-cos^(3)theta=(p)/(q) where p and q are natural numbers with HCF=1, find the value of ((p+q))/(3)

If the maximum value of the expression (1)/(5sec^(2)theta-tan^(2)theta+4cos ec^(2)theta) is equal to (p)/(q)( where p and q are coprime),then the value of (p+q) is

If 17sin phi=sin(8 theta-3 phi) and (tan(4 theta-phi))/(tan(4 theta-2 phi))0=(p)/(q) and where p&q are co- prime numbers,then the value of (p-q) is

If x=(sqrt(p+q)+sqrt(p-q))/(sqrt(p+q)-sqrt(p-q)) then find the value of qx^(2)-2px+q

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

If ^( If )=1-q tan theta and p^(2)sec^(2)theta=5+q^(2)tan^(2)thetap sec theta=1-q tan theta and p^(2)sec^(2)theta=5+q^(2)tan^(2)theta then the value of (9)/(p^(2))-(4)/(q^(2)) equals to

If p sec theta+q tan theta=1 and p^(2)sec^(2)theta-q^(2)tan^(2)theta=5 then find the value of (9p^(-2)-4q^(-2))

If x=(sqrt(p+q)+sqrt(p-q))/(sqrt(p+q)-sqrt(p-q)) find the value of qx^(2)-2px+q

If qcosectheta=p and theta is acute then value of (sqrt(p^(2)-q^(2)))tan theta is