Question

If x =3 sec 2theta - 1 and y = tan 2 theta - 2 then x - 3y = ( a) 3 (b) 4. (c) 5. ( d) 8.

Answer 1

x = 3 sec2θ - 1, y = tan2θ - 2

x - 3y = 3 sec2θ - 1 - 3tan2θ + 6

= 3(1) + 5 = 8

(Since, sec2 θ - tan2θ = 1)