What is the general solution for 4sec(x)+8=0 ?

The general solution for 4sec(x)+8=0 is x=(2pi)/3+2pin,x=(4pi)/3+2pin

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4sec(x)+8=0

4 sec (x) + 8 = 0

x = \frac{2 π}{3} + 2 πn, x = \frac{4 π}{3} + 2 πn

Solution steps

4 sec (x) + 8 = 0

Move

8

to the right side

4 sec (x) = - 8

Divide both sides by

4

sec (x) = - 2

General solutions for

sec (x) = - 2

x = \frac{2 π}{3} + 2 πn, x = \frac{4 π}{3} + 2 πn

x, ln (y) = e^{y} sin (x)

2 sin^{2} (x) = 1 - sin (x)

tan (x) sin (2 x) = 0

5 sin (2 θ) = 7 cos (2 θ), 0^{\circ} \leq 2 θ < 72 0^{\circ}

- 7 sin^{2} (θ) + 4 sin (θ) + 7 = 0

What is the general solution for 4sec(x)+8=0 ?
The general solution for 4sec(x)+8=0 is x=(2pi)/3+2pin,x=(4pi)/3+2pin