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What angle (in radians) corresponds to 0.75 rotations around the unit circle?

(Give an exact answer as a fraction.)

Respuesta :

3pi/2. The unit circle is 2pi

Using proportions, it is found that an angle of [tex]1.5\pi[/tex] corresponds to 0.75 rotations around the unit circle

  • This question can be solved by proportions, using a rule of three.
  • An entire rotation is of [tex]2\pi[/tex] radians. What is the angle of 0.75 rotations?

The rule of three is:

1 rotation - [tex]2\pi[/tex] radians

0.75 rotations - x radians

Applying cross multiplication:

[tex]x = 2\pi(0.75) = 1.5\pi[/tex]

An angle of [tex]1.5\pi[/tex] corresponds to 0.75 rotations around the unit circle

A similar problem is given at https://brainly.com/question/23536327