The measures of the angle for which the cosine function cosΘ is equal to the 1/2 are –60° and 660°.
What is cosine angle?
The cosine angle is the complemetry angle of the sine angle. Cosine angle is one of the main functions used in the trigonometry.
The given trigonometry equation in the problem is,
[tex]\cos\theta=\dfrac{1}{2}[/tex]
Take the inverse cosine both side of the equation, to isolate the angle θ,
[tex]\theta=\cos^{-1}\left(\dfrac{1}{2}\right)[/tex]
The value of arccos (1/2) is equal to the (180/3). Put this value in the above equation,
[tex]\theta=\dfrac{180}{3}^o\\\theta=60^o[/tex]
The cosine function is positive in I'st and IV'th quadrant. The function of cosine repeats in each 360 degrees. Thus the value of cosine at -60 will also be 1/2.
At the 120 and -120 degree it give the value -1/2 and at 660 again it will provide the 1/2 value.
Thus, the measures of the angle for which the cosine function cosΘ is equal to the 1/2 are –60° and 660°.
Learn more about the cosine angle here;
https://brainly.com/question/10556304
