Express as a function of a DIFFERENT angle, 0^(@) <= theta < 360^(@). cos(305^(@)) cos(◻^(@))

Identify Reference Angle: Identify the reference angle for 305°. The reference angle is the acute angle formed by the terminal side of the given angle and the x-axis. Since 305° is in the fourth quadrant, we subtract it from 360° to find the reference angle. Reference angle = 360° - 305° = 55°Determine Cosine: Determine the cosine of the reference angle. Since cosine is positive in the fourth quadrant and the reference angle is 55°, cos(305°) is equal to the cosine of its reference angle. cos(305°) = cos(55°)Express as Different Angle: Express cos(305°) as a function of a different angle. We can use the symmetry properties of the cosine function to express cos(305°) in terms of a different angle. Since the cosine function is even, cos(θ) = cos(-θ). Therefore, we can express cos(305°) as cos(-55°). cos(305°) = cos(-55°)

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

cos(305^(@))

cos(◻^(@))

Express as a function of a DIFFERENT angle, 0^{\circ} \leq \theta<360^{\circ} . $\newline$ $\cos \left(305^{\circ}\right)$ $\newline$ $\cos \left(\square^{\circ}\right)$

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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(305^{\circ}\right)

\newline

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

Identify Reference Angle: Identify the reference angle for $305°$ . The reference angle is the acute angle formed by the terminal side of the given angle and the x-axis. Since $305°$ is in the fourth quadrant, we subtract it from $360°$ to find the reference angle. Reference angle = $360° - 305° = 55°$
Determine Cosine: Determine the cosine of the reference angle. $\newline$ Since cosine is positive in the fourth quadrant and the reference angle is $55°$ , $\cos(305°)$ is equal to the cosine of its reference angle. $\newline$ $\cos(305°) = \cos(55°)$
Express as Different Angle: Express $\cos(305°)$ as a function of a different angle. $\newline$ We can use the symmetry properties of the cosine function to express $\cos(305°)$ in terms of a different angle. Since the cosine function is even, $\cos(\theta) = \cos(-\theta)$ . Therefore, we can express $\cos(305°)$ as $\cos(-55°)$ . $\newline$ $\cos(305°) = \cos(-55°)$