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3 years ago

Solve the equation cos2x = -1\2, for 0 < x < 360°.

Mathematics

1 answer:

natta225 [31]3 years ago

6 0

Answer:

x = 60°, 120°

Step-by-step explanation:

If we let $t=2x$ , our equation now becomes $\cos{t}=-1/2$ , which is true for two values of t: 120° and 240°. Since t = 2x, we can say that $120^{\circ}=2x$ and $240^{\circ}=2x$ , and therefore $x = 60^{\circ}$ and $x=120^{\circ}$

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Solve the equation cos2x = -1\2, for 0 < x < 360°.​

Solve the equation cos2x = -1\2, for 0 < x < 360°.