" 87.If "x=a sec theta cos theta,y=b sec theta sin phi" and "z=c tan theta," show that "(x^(2))/(a^(2))+(y^(2))/(b^(2))-(z^(2))/(c^(2))=1" [HOTS] "

If x=a sec theta cos varphi,quad y=b sec theta sin varphi and z=c tan theta, show that (x^(2))/(a^(2))+(y^(2))/(b^(2))-(z^(2))/(c^(2))=1

If x=a sec theta cosphi, y = b sec theta sin phi and z=c tan theta , then prove that (x^(2))/(a^(2))+(y^(2))/(b^(2))-(z^(2))/(c^(2))=1.

If x = a sec A cos B, y = b sec A sin B and z = c tan A, show that : (x^(2))/ (a^(2)) + (y^(2))/ (b^(2)) - (z^(2))/(c^(2)) = 1

Find the blanks. (i) If x=a cos^(3)theta,y=b sin^(3)theta then ((x)/(a))^(2/3)+((y)/(b))^(2/3)=ul(P) (ii) if x=a sec theta cos phi,y=b sec theta sin phi and z=c tan theta then (x^(2))/(a^(2))+(y^(2))/(b^(2))-(z^(2))/(c^(2))=ul(Q) (iii) If cos A+cos^(2)A=1 ,then sin^(2)A+sin^(4)A=ul(R)

If x=a sec theta cos varphi,y=b sec theta sin varphi and z=c tan theta, then (x^(2))/(a^(2))+(y^(2))/(b^(2))=(z^(2))/(c^(2)) (b) 1-(z^(2))/(c^(2))(c)(z^(2))/(c^(2))-1(d)1+(z^(2))/(c^(2))

If x = a sec theta cos phi, y = b sec thetasin phi and z = c tan theta , then the value of x^2/a^2 + y^2/b^2 -z^2 /c^2 is

If x=a sec theta,y=b tan theta, then prove that (x^(2))/(a^(2))-(y^(2))/(b^(2))=1

If x=r cos theta cos phi , y=r cos theta sin phi and z=r sin theta , then x^(2)+y^(2)+z^(2)=

If x = a sec theta cos phi, y = b sec theta sin phi, z = c tan theta , then, the value of x^2 /a^2 + y^2/b^2 -z^2/c^2 is :

If x=r cos theta cos phi, y=r cos theta sin phi, z=r sin theta , then prove that x^(2)+y^(2)+z^(2)=r^(2).