Sec2theta+tan2theta=7 find theta

1.	Sec2theta+tan2theta=7 find theta
Answer» ANSWER: x = 2nπ ± π/3 or x = 2nπ ± 2π/3 Step-by-step explanation: The given EQUATION is $\<klux>SEC</klux> {}^{2} (x) + \tan {}^{2} (x) = 7$ $\sec {}^{2} (x) + \sec {}^{2} (x) - 1 = 7$ $2 \sec {}^{2} (x) = 8$ $\sec {}^{2} (x ) = 4$ sec(x) = ±2 cos(x) = ±(1/2) cos(x) = cos(π/3) or cos(x) = cos(π-π/3) = cos(2π/3) Principle SOLUTIONS are x = π/3, 2π/3 General Solutions are x = 2nπ ± π/3 or x = 2nπ ± 2π/3

Answer»

x = 2nπ ± π/3 or x = 2nπ ± 2π/3

Step-by-step explanation:

The given EQUATION is

$\<klux>SEC</klux> {}^{2} (x) + \tan {}^{2} (x) = 7$