If `a^2sec^2x-b^2tan^2x=c^2`,show that `cosecx=+-sqrt((b^2-c^2)/(a^2-c^2))`

If a costheta-b sintheta=c ,show that a sintheta+bcostheta=+-sqrt(a^2+b^2-c^2)

If a,b,c are in G.P then show that a(b^2-c^2)=c(a^2-b^2)

Show that : sin[cos^-1{tan(sec^-1 x)}]=sqrt(2-x^2)

Show that tan^2A-tan^2B=(sin^2A-sin^2B)/(cos^2Acos^2B)

AD is the perpendicular from A and BC of triangleABC .If AB=c,BC=a,CA=b and AD=x then prove that a=sqrt(b^2-x^2)+sqrt(c^2-x^2)

If a,b,c are in G.P then show that a(b^2+c^2)=c(a^2+b^2)

If tan A ,tan B are the roots of x^2-bx+c=0 ,show that sin^2(A+B)=b^2/(b^2+(1-c)^2)

If alpha and beta are the solution of the equation a tan theta +b sec theta=c ,then show that tan(alpha+beta)=2ac/(a^2-c^2)

If a costheta -b sin theta = c ,then prove that a sintheta + b costheta=+-sqrt(a^2+b^2-c^2 )

If a+b=c then prove that 1/(b^2+c^2-a^2)+1/(c^2+a^2-b^2)+1/(a^2+b^2-c^2)=0