Express as a function of a DIFFERENT angle, 0^(@) <= theta < 360^(@). cos(308^(@)) cos(◻^(@))

Understand concept reference angles: Understand the concept of reference angles. The reference angle is the acute angle that a given angle makes with the x-axis. It is always between 0° and 90° and can be used to find the cosine of the original angle because cosine is the x-coordinate on the unit circle.Find reference angle 308°: Find the reference angle for 308°. Since 308° is in the fourth quadrant (where angles are between 270° and 360°), we subtract it from 360° to find the reference angle. Reference angle = 360° - 308° = 52°Determine cosine reference angle: Determine the cosine of the reference angle. The cosine of an angle in the fourth quadrant is positive, and since the reference angle is 52°, we have: cos(52°) = cos(360° - 308°)Express cosine function: Express the original cosine function in terms of the reference angle. Since the cosine function is positive in the fourth quadrant, we can write: cos(308°) = cos(360° - 52°) = cos(52°)

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

cos(308^(@))

cos(◻^(@))

Express as a function of a DIFFERENT angle, 0^{\circ} \leq \theta<360^{\circ} . $\newline$ $\cos \left(308^{\circ}\right)$ $\newline$ $\cos \left(\square^{\circ}\right)$

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Algebra 2

Find trigonometric ratios using reference angles

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Q. Express as a function of a DIFFERENT angle,

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

\newline

\cos \left(308^{\circ}\right)

\newline

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

Understand concept reference angles: Understand the concept of reference angles. The reference angle is the acute angle that a given angle makes with the x-axis. It is always between $0^\circ$ and $90^\circ$ and can be used to find the cosine of the original angle because cosine is the x-coordinate on the unit circle.
Find reference angle $308°$ : Find the reference angle for $308°$ . Since $308°$ is in the fourth quadrant (where angles are between $270°$ and $360°$ ), we subtract it from $360°$ to find the reference angle. Reference angle = $360° - 308° = 52°$
Determine cosine reference angle: Determine the cosine of the reference angle. $\newline$ The cosine of an angle in the fourth quadrant is positive, and since the reference angle is $52^\circ$ , we have: $\newline$ $\cos(52^\circ) = \cos(360^\circ - 308^\circ)$
Express cosine function: Express the original cosine function in terms of the reference angle. $\newline$ Since the cosine function is positive in the fourth quadrant, we can write: $\newline$ $\cos(308°) = \cos(360° - 52°) = \cos(52°)$