What is the general solution for -2sqrt(2)=-2sec(x+150) ?

The general solution for -2sqrt(2)=-2sec(x+150) is x=360n-105,x=360n+165

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-2sqrt(2)=-2sec(x+150)

- 22 = - 2 sec (x + 15 0^{\circ})

x = 36 0^{\circ} n - 10 5^{\circ}, x = 36 0^{\circ} n + 16 5^{\circ}

Solution steps

- 22 = - 2 sec (x + 15 0^{\circ})

Switch sides

- 2 sec (x + 15 0^{\circ}) = - 22

Divide both sides by

- 2

sec (x + 15 0^{\circ}) = 2

General solutions for

sec (x + 15 0^{\circ}) = 2

x + 15 0^{\circ} = 4 5^{\circ} + 36 0^{\circ} n, x + 15 0^{\circ} = 31 5^{\circ} + 36 0^{\circ} n

Solve

x + 15 0^{\circ} = 4 5^{\circ} + 36 0^{\circ} n : x = 36 0^{\circ} n - 10 5^{\circ}

Solve

x + 15 0^{\circ} = 31 5^{\circ} + 36 0^{\circ} n : x = 36 0^{\circ} n + 16 5^{\circ}

x = 36 0^{\circ} n - 10 5^{\circ}, x = 36 0^{\circ} n + 16 5^{\circ}

9 sin (θ) + 11 = 0

(4 sin (2 x) + 4 cos (2 x))^{2} = 16

2 sec (x) tan (x) + sec^{2} (x) = 0

sec^{2} (x) + 4 tan (x) = 6

sin^{2} (θ) = 4 - 2 cos^{2} (θ)

What is the general solution for -2sqrt(2)=-2sec(x+150) ?
The general solution for -2sqrt(2)=-2sec(x+150) is x=360n-105,x=360n+165