Express as a function of a DIFFERENT angle, 0^(@) <= theta < 360^(@). cos(220^(@)) cos(◻^(@))

Understand reference angles: Understand the concept of reference angles. A reference angle is the acute angle formed by the terminal side of an angle and the x-axis. It is always between 0° and 90° and is found by looking at the angle's location in the standard position and determining how far it is from the nearest x-axis.Find reference angle for 220°: Find the reference angle for 220°. Since 220° is in the third quadrant, we subtract it from 180° to find the reference angle. Reference angle = 220° - 180° = 40°Determine cosine sign in third quadrant: Determine the sign of the cosine function in the third quadrant. In the third quadrant, both the x and y coordinates are negative, so the cosine function, which corresponds to the x-coordinate, is negative.Express cos(220°) with reference angle: Express cos(220°) in terms of the reference angle. Since the cosine function is negative in the third quadrant and the reference angle is 40°, we can write: cos(220°) = -cos(40°)Verify reference angle within range: Verify that the reference angle is within the specified range. The reference angle 40° is within the range 0° ≤ theta < 360°, so our expression is valid.

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Express as a function of a DIFFERENT angle,
0^(@) <= theta < 360^(@).

cos(220^(@))

cos(◻^(@))

Express as a function of a DIFFERENT angle, 0^{\circ} \leq \theta<360^{\circ} . $\newline$ $\cos \left(220^{\circ}\right)$ $\newline$ $\cos \left(\square^{\circ}\right)$

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Algebra 2

Sin, cos, and tan of special angles

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Q. Express as a function of a DIFFERENT angle,

0^{\circ} \leq \theta<360^{\circ}

\newline

\cos \left(220^{\circ}\right)

\newline

\cos \left(\square^{\circ}\right)

Understand reference angles: Understand the concept of reference angles. A reference angle is the acute angle formed by the terminal side of an angle and the x-axis. It is always between $0^\circ$ and $90^\circ$ and is found by looking at the angle's location in the standard position and determining how far it is from the nearest x-axis.
Find reference angle for $220°$ : Find the reference angle for $220°$ . Since $220°$ is in the third quadrant, we subtract it from $180°$ to find the reference angle. Reference angle = $220° - 180° = 40°$
Determine cosine sign in third quadrant: Determine the sign of the cosine function in the third quadrant. $\newline$ In the third quadrant, both the $x$ and $y$ coordinates are negative, so the cosine function, which corresponds to the $x$ -coordinate, is negative.
Express $\cos(220°)$ with reference angle: Express $\cos(220°)$ in terms of the reference angle. $\newline$ Since the cosine function is negative in the third quadrant and the reference angle is $40°$ , we can write: $\newline$ $\cos(220°) = -\cos(40°)$
Verify reference angle within range: Verify that the reference angle is within the specified range. $\newline$ The reference angle $40^\circ$ is within the range 0^\circ \leq \theta < 360^\circ, so our expression is valid.