If `p sintheta+qcostheta=aandpcostheta-qsintheta=b,` show that : `(p+a)/(q+b)+(q-b)/(p-a)=0`.

If p sintheta+qcostheta=3&qsintheta-pcostheta=2 , then p^(2)+q^(2)=?

If tantheta=(p)/(q) , then (p sintheta-qcostheta)/(p sintheta+qcostheta)=?

If sec A = x+(1)/(4x) prove that: sec A + tan A = 2x or (1)/(2x) (b) If "tan" theta = (p)/(q) ,show that : (p sin theta - q costheta)/(p"sin"theta+qcostheta)=( p^(2) - q^(2))/(p^(2)+q^(2))

If tan(A+B)=p and tan(A-B)=q , then show that tan 2A=(p+q)/(1-pq)

(a) If r^(2) = pq , show that p : q is the duplicate ratio of (p + r) : (q + r) . (b) If (p - x) : (q - x) be the duplicate ratio of p : q then show that : (1)/(p) + (1)/(q) = (1)/(r) .

If tan(A+B)p and tan(A-B)=q , then show that tan 2A=(p+q)/(1-pq)

If tan(A+B)=p and tan(A-B)=q , then show that tan2A=(p+q)/(1-pq) .

If tantheta=p/q then find the value of (p sintheta-qcostheta)/(p sintheta+qcostheta)

If pth,qth and rth terms of an A.P.are a,b,c respectively,then show that (i) a(q-r) +b(r- p) +c(p-q)=0

If tantheta = p/q then the value of (p sintheta-q costheta)/(p sintheta + qcostheta is