Trig equations

Solve $\tan x=0.5$ for $0°≤x≤360°$  

• 26.6°  and 206.6°

• 60° and 240°

• 30° and 210°

• 26.6°

Solve $2\sin\left(x\right)+1=0$ for $0°≤x≤360°$  

• 30°  and 150°

• 150° and 210°

• -30° and 330°

• 210° and 330° 

Solve $3\tan\left(x\right)-2=0$ for $-180°≤x≤180°$  

• 33.7°  and 213.7°

• 146.3° and -33.7°

• 33.7° and -146.3°

• 63.4° and -116.6°

Solve $2\cos\left(x\right)-\sin\left(x\right)=0$ for $0°≤x≤360°$  

• 63.4° and 243.4°

• 116.6°  and  296.6°

• 26.6°  and 206.6°

• 153.4°  and 333.4°

Solve $\left(2\cos\left(x\right)+1\right)\left(\cos\left(x\right)-2\right)=0$ for $0°≤x≤360°$  

• 0°, 120°, 240° and 360°

• 60° and 300°

• 120° and 240°

• 0°, 60°, 300° and 360°

Solve $2\sin^2\left(x\right)-\sin\left(x\right)-1=0$ for $-180°≤x≤180°$  

• -90° and 90°

• 90°, 210° and 330°

• 30°, 90° and 150°

• -150°, -30° and 90°

Solve $2\sin\left(x\right)\cos\left(x\right)-\sin\left(x\right)=0$ for $0°≤x≤360°$  

• 0° and 360°

• 60° and 300°

• 0°, 60°, 180°, 300° and 360°

• 0°, 120°, 240° and 360°

Solve $\tan^2\left(x\right)-1=0$ for $-180°≤x≤180°$  

• -30° and 150°

• -135° and 45°

• -135°, -45°, 45° and 135°

• -30°, -150°, 30° and 150°

Solve $\cos^2\left(x\right)+\cos\left(x\right)=\sin^2\left(x\right)$ for $0°≤x≤360°$  

• 60°, 180° and 300°

• 60° and 300°

• 30° and 330°

• 30°, 180° and 330°

Given that $\tan^2\left(x\right)-2\tan\left(x\right)-4=0$ then
 $x=\tan^{-1}\left(1\pm\sqrt{p}\right)$ 
What is the value of $p$  

• 3

• 5

• 7

• 11