Solve the following equation for θ on the interval [0,360∘). −5√3 sec(θ)−8=−18

Question

Select all correct answers.

1. 90∘
2. 
   
3. 210∘
4. 
   
5. 330∘
6. 
   
7. 30∘
8. 
   
9. 45∘
10. 
    
11. 120∘

Answer 1

−5√3 sec(θ)−8=−18

-5√3Sec(θ) = -10

Sec(θ) = 2/√3

Cos(θ) = √3/2

θ= Cos^-1√3/2 = 30 ° and 330°°