Express as a function of a DIFFERENT angle, 0^(@) <= theta < 360^(@). cos(326^(@)) cos(◻^(@))

Understand the problem: Understand the problem. We need to express cos(326°) as a function of a different angle within the range of 0° to 360°. This typically involves finding an equivalent angle that has the same cosine value but is different from 326°.Find the reference angle: Find the reference angle. The reference angle is the acute angle formed by the terminal side of the given angle and the x-axis. For angles in the fourth quadrant, where 326° lies, the reference angle θ' can be found using the formula θ' = 360° - θ.Calculate the reference angle: Calculate the reference angle. θ' = 360° - 326° = 34° The reference angle for 326° is 34°.Determine the cosine: Determine the cosine of the reference angle. Since cosine is positive in the fourth quadrant and the reference angle is in the first quadrant where cosine is also positive, cos(326°) is equal to cos(34°).Express the original cosine: Express the original cosine function in terms of the reference angle. cos(326°) = cos(34°)

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

cos(326^(@))

cos(◻^(@))

Express as a function of a DIFFERENT angle, 0^{\circ} \leq \theta<360^{\circ} . $\newline$ $\cos \left(326^{\circ}\right)$ $\newline$ $\cos \left(\square^{\circ}\right)$

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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(326^{\circ}\right)

\newline

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

Understand the problem: Understand the problem. $\newline$ We need to express $\cos(326^\circ)$ as a function of a different angle within the range of $0^\circ$ to $360^\circ$ . This typically involves finding an equivalent angle that has the same cosine value but is different from $326^\circ$ .
Find the reference angle: Find the reference angle. $\newline$ The reference angle is the acute angle formed by the terminal side of the given angle and the x-axis. For angles in the fourth quadrant, where $326°$ lies, the reference angle $\theta'$ can be found using the formula $\theta' = 360° - \theta$ .
Calculate the reference angle: Calculate the reference angle. $\newline$ $\theta' = 360° - 326° = 34°$ $\newline$ The reference angle for $326°$ is $34°$ .
Determine the cosine: Determine the cosine of the reference angle. $\newline$ Since cosine is positive in the fourth quadrant and the reference angle is in the first quadrant where cosine is also positive, $\cos(326^\circ)$ is equal to $\cos(34^\circ)$ .
Express the original cosine: Express the original cosine function in terms of the reference angle. $\cos(326^\circ) = \cos(34^\circ)$