Which angle is coterminal with a 645° angle?

Mathematics

1 answer:

velikii [3]2 years ago

5 0

Answer:

Step-by-step explanation:

Coterminal angles are angles that have a common terminal side.

So, given an angle θ, its coterminal angles will always be ±360°. This can be repeated.

We have a 645° angle.

Therefore, all values of the equation:

$645\pm 360n$

Where n is an integer is coterminal with our original angle.

Letting n = 1 and using the negative case, we acquire:

$\Rightarrow 645-360=285$

Therefore, an angle measuring 285° is coterminal with a 645° angle.

None of the other options can be reached by adding/subtracting 360.

Therefore, our answer is C.

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To determine whether the inverse of a function is a function you can perform the horizontal line test.

iris [78.8K]

Answer:

$\boxed{\text{TRUE}}$

Step-by-step explanation:

If a horizontal line intersects the graph of a function in all places at exactly one point (the horizontal line test), the inverse of the function is also a function.

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However, the inverse of a parabola (like ƒ(x) = x²) is not a function, because a horizontal line intersects with the graph at two points.