genzmintz genzmintz

05-04-2022
Mathematics

contestada

Trigonometric Equations

Solve the equation over the interval [0°, 360°)

cos(theta) = -1/2

Respuesta :

evgeniylevi evgeniylevi

05-04-2022

Answer:

[tex]\frac{2\pi }{3};\frac{4\pi }{3}.[/tex]

Step-by-step explanation:

1) cos(θ)=-0.5;

theta=±2π/3+2πn, where n∈Z;

2) if θ∈[0;360], then

[tex]\theta=\frac{2\pi }{3}; \frac{4\pi }{3}.[/tex]

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