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3 years ago

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

Mathematics

2 answers:

anzhelika [568]3 years ago

5 0

Ф=11

Sloan [31]3 years ago

4 0

Answer: 30° and 330°

<u>Step-by-step explanation:</u>

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)

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