Express as a function of a DIFFERENT angle, 0^(@) <= theta < 360^(@). sin(71^(@)) sin(◻^(@))

Identify angle: Identify the related angle to 71° that can be used to express sin(71°) as a function of a different angle. Since the sine function is periodic with a period of 360°, we can find a related angle by subtracting 71° from 360°. Calculation: 360° - 71° = 289°Calculate related angle: Express sin(71°) in terms of sin(289°). Since sin(θ) = sin(180° - θ) for angles in the first and second quadrants, and sin(θ) = sin(360° - θ) for angles in the first and fourth quadrants, we can use the latter identity because 289° is in the fourth quadrant. Therefore, sin(71°) = sin(360° - 289°). Calculation: 360° - 289° = 71°, which confirms that sin(71°) = sin(289°).

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

sin(71^(@))

sin(◻^(@))

Express as a function of a DIFFERENT angle, 0^{\circ} \leq \theta<360^{\circ} . $\newline$ $\sin \left(71^{\circ}\right)$ $\newline$ $\sin \left(\square^{\circ}\right)$

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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

\sin \left(71^{\circ}\right)

\newline

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

Identify angle: Identify the related angle to $71°$ that can be used to express $\sin(71°)$ as a function of a different angle. $\newline$ Since the sine function is periodic with a period of $360°$ , we can find a related angle by subtracting $71°$ from $360°$ . $\newline$ Calculation: $360° - 71° = 289°$
Calculate related angle: Express $\sin(71^\circ)$ in terms of $\sin(289^\circ)$ . Since $\sin(\theta) = \sin(180^\circ - \theta)$ for angles in the first and second quadrants, and $\sin(\theta) = \sin(360^\circ - \theta)$ for angles in the first and fourth quadrants, we can use the latter identity because $289^\circ$ is in the fourth quadrant. Therefore, $\sin(71^\circ) = \sin(360^\circ - 289^\circ)$ . Calculation: $360^\circ - 289^\circ = 71^\circ$ , which confirms that $\sin(71^\circ) = \sin(289^\circ)$ .