" If cosec "q+cot q=p," show that "cos q=(p^(2)-1)/(p^(2)+1)

If sin A + cos A = p and sec A + cosec A = q , then prove that : q(p^(2) - 1) = 2 p

If sin theta + cos theta = p and sec theta + "cosec"theta = q , then prove that q(p^(2)-1) = 2p .

If sintheta +costheta =p and sectheta+cosectheta=q , show that q(p^2 -1)=2p .

If sintheta+costheta=pandsectheta+"cosec"theta=q then prove that q(p^(2)-1)=2p .

If sintheta+costheta=pandsectheta+"cosec"theta=q then prove that q(p^(2)-1)=2p .

If sin theta+ cos theta = p and sec theta + cosec theta = q ; show that q(p^2-1) = 2p

If cos theta + sin theta = p and sec theta + cosec theta = q , prove that q (p^(2) - 1) = 2p .

If tan theta =p/q , show that : (p sin theta-q cos theta)/(p sin theta+q cos theta)= (p^2-q^2)/(p^2+q^2) .

If sin theta+cos theta=p and sec theta+cos ec theta=q show that q(p^(2)-1)=2p

If p - q is small compared to either p or q, then show that sqrt(p/q)=((n+1)p+(n-1)q)/((n-1)p+(n+1)q) Hence find sqrt(15/16) .