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Recall that a point on the unit circle represents (cos(θ, sin(θ)) for an angle in standard position. If θ = 60°, then for what other value of θ is cos(θ) = 12? Give the smallest positive angle measure. θ =  ⇒ 300 degrees For angles between 0° and  60°, the cosine value is X less thanequal to✔ greater than ½.​

Recall that a point on the unit circle represents cosθ sinθ for an angle in standard position If θ 60 then for what other value of θ is cosθ 12 Give the smalles class=

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Answer:

1.   300 degrees

2.  greater than

Step-by-step explanation:

1) θ = 300°

2) For angles between 0° and  60°, the cosine value is greater than [tex]\frac{1}{2}[/tex].​

What is an angle in standard position?

"The position of an angle with its vertex at the origin and its initial side coinciding with the positive x-axis."

For given question,

We have been given an angle  θ = 60°

We need to find  other value of θ is for which cos(θ) = [tex]\frac{1}{2}[/tex]

We know that, cos(θ) is positive in the first and fourth quadrant.

Also,  cos(2π - θ) =  cos(θ)

So, cos(60) = cos(360 - 60)

                   = cos(300)

                   = [tex]\frac{1}{2}[/tex]

This means, the other value of θ is for which cos(θ) = [tex]\frac{1}{2}[/tex] is , θ = 300°

Also, we know that,

i) cos(0) = 1

ii) cos(30) = [tex]\frac{\sqrt{3} }{2}[/tex]

                = 0.866

iii) cos(45) = [tex]\frac{1}{\sqrt{2} }[/tex]

                 = 0.7071

iv) cos(60) = [tex]\frac{1}{2}[/tex]

                 = 0.5

This means, for angles between 0° and  60°, the cosine value is greater than [tex]\frac{1}{2}[/tex].​

Therefore, 1) θ = 300°

2) For angles between 0° and  60°, the cosine value is greater than [tex]\frac{1}{2}[/tex].​

Learn more about the cosine of angle here:

https://brainly.com/question/4436457

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