Question

secx=-2 find principal and general solution of the following ​

Answer 1

Step-by-step explanation:

sec x=-2

sec x=sec(π-π/3)

sec x=sec 2π/3

=> x=2π/3

sec x=-2

sec x=sec(π+π/3)

sec x=sec 4π/3

=> x=4π/3

So, principal solutions are 2π/3 and 4π/3

sec x=sec 2π/3

1/cos x=1/cos 2π/3

cos x=cos 2π/3

for cos x =cos y,

x= 2nπ +_ y

x= 2nπ +_ 2π/3