0^(@) <= theta <= 180^(@). Find the value of theta in degrees. cos(theta)=-1 Write your answer in simplified, rationalized form. Do not round. theta=◻^(@)

Identify Unit Circle Properties: Identify the unit circle properties for cosine. Cosine of an angle theta on the unit circle is the x-coordinate of the point where the terminal side of the angle intersects the unit circle.Recall Known Cosine Values: Recall the specific angles where cosine values are known. Cosine of 0 degrees is 1, cosine of 90 degrees is 0, and cosine of 180 degrees is -1.Match Cosine Value to Angle: Match the given cosine value to the known angle. Since cos(theta) = -1, and we know that cos(180 degrees) = -1, theta must be 180 degrees.Verify Angle Range: Verify that the angle is within the given range. Theta equals 180 degrees, which is within the range of 0 degrees to 180 degrees.

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0^(@) <= theta <= 180^(@). Find the value of
theta in degrees.
cos(theta)=-1
Write your answer in simplified, rationalized form. Do not round.
theta=◻^(@)

$0^{\circ} \leq \theta \leq 180^{\circ}$ . Find the value of $\theta$ in degrees. $\newline$ $\cos (\theta)=-1$ $\newline$ Write your answer in simplified, rationalized form. Do not round. $\newline$ $\theta=\square^{\circ}$

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Math Problems

Algebra 2

Sin, cos, and tan of special angles

Full solution

0^{\circ} \leq \theta \leq 180^{\circ}

. Find the value of

\theta

in degrees.

\newline

\cos (\theta)=-1

\newline

Write your answer in simplified, rationalized form. Do not round.

\newline

\theta=\square^{\circ}

Identify Unit Circle Properties: Identify the unit circle properties for cosine. Cosine of an angle $\theta$ on the unit circle is the $x$ -coordinate of the point where the terminal side of the angle intersects the unit circle.
Recall Known Cosine Values: Recall the specific angles where cosine values are known. Cosine of $0$ degrees is $1$ , cosine of $90$ degrees is $0$ , and cosine of $180$ degrees is $-1$ .
Match Cosine Value to Angle: Match the given cosine value to the known angle. $\newline$ Since $\cos(\theta) = -1$ , and we know that $\cos(180^\circ) = -1$ , $\theta$ must be $180^\circ$ .
Verify Angle Range: Verify that the angle is within the given range. $\Theta = 180$ degrees, which is within the range of $0$ degrees to $180$ degrees.