What is the general solution for 1/2 sec(x)-1=0 ?

The general solution for 1/2 sec(x)-1=0 is x= pi/3+2pin,x=(5pi)/3+2pin

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1/2 sec(x)-1=0

\frac{1}{2} sec (x) - 1 = 0

x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

Solution steps

\frac{1}{2} sec (x) - 1 = 0

Move

1

to the right side

\frac{1}{2} sec (x) = 1

Multiply both sides by

2

sec (x) = 2

General solutions for

sec (x) = 2

x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

0 = cos (x) - sin (x)

tan (x) = 4

2 sin (x) = sin (2 x)

sin (2 x) cos (x) = 0, 0 \leq x \leq 2 π

tan (x + π) + 2 sin (x + π) = 0

What is the general solution for 1/2 sec(x)-1=0 ?
The general solution for 1/2 sec(x)-1=0 is x= pi/3+2pin,x=(5pi)/3+2pin