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Please help solve this !! (Picture shown) it is about finding angles giving reference degree/radians

Please Help Solve This Picture Shown It Is About Finding Angles Giving Reference Degreeradians class=

Sagot :

sqdancefan

Answer:

  • 60, 240 degrees
  • 1/3π, 4/3π radians

Step-by-step explanation:

A reference angle is the smallest angle between a terminal ray and the x-axis. It will always be 90° or less. A reference angle of α will correspond to an actual angle of any of {α, 180°-α, 180°+α, 360°-α} in the range 0-360°.

Here, we're told the reference angle is 60°, and the tangent is positive. The tangent is positive in quadrants I and III, so the possible angles are ...

  60°, 180°+60° = 240° . . . . . . possible angles in degrees

Multiplying the degree measure by π/180° gives the measure in radians.

  π/3, 4π/3 . . . . . . . . . . . possible angles in radians

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