Question

I need to find sec(theta)= 2(sqrt3)/3

Answer 1

Ф=11

Answer 2

Answer: 30° and 330°

Step-by-step explanation:

sec θ = $\frac{2\sqrt{3}}{3}$

sec θ = $\frac{1}{cos(\theta)}$

$\frac{1}{cos(\theta)}$ = $\frac{2\sqrt{3}}{3}$

cos θ = $\frac{3}{2\sqrt{3}}$

cos θ = $\frac{3}{2\sqrt{3}}(\frac{\sqrt{3}}{\sqrt{3}})$

cos θ = $\frac{3\sqrt{3}}{3*2}$

cos θ = $\frac{\sqrt{3}}{2}$

Look at the Unit Circle to see that cos = $\frac{\sqrt{3}}{2}$ at 30° and 330°  ( which is equivalent to π/6 and 11π/6)