Express as a function of a DIFFERENT angle, 0^(@) <= theta < 360^(@). sin(309^(@)) sin(◻^(@))

Understand the problem: Understand the problem. We need to express sin(309°) in terms of a different angle that is within the range of 0° to 360°. This typically involves using known trigonometric identities or properties to rewrite the sine of an angle in terms of another angle.Use trigonometric identities: Use the fact that sin(θ) = sin(180° - θ) or sin(360° - θ) to find an equivalent expression. Since 309° is more than 180°, we can use the identity sin(θ) = sin(360° - θ) to find a different angle that gives the same sine value.Calculate equivalent angle: Calculate the equivalent angle using the identity. sin(309°) = sin(360° - 309°) sin(309°) = sin(51°)Verify new angle: Verify that the new angle is within the specified range. 51° is indeed within the range of 0° to 360°, so our expression is valid.

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

sin(309^(@))

sin(◻^(@))

Express as a function of a DIFFERENT angle, 0^{\circ} \leq \theta<360^{\circ} . $\newline$ $\sin \left(309^{\circ}\right)$ $\newline$ $\sin \left(\square^{\circ}\right)$

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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

\sin \left(309^{\circ}\right)

\newline

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

Understand the problem: Understand the problem. $\newline$ We need to express $\sin(309^\circ)$ in terms of a different angle that is within the range of $0^\circ$ to $360^\circ$ . This typically involves using known trigonometric identities or properties to rewrite the sine of an angle in terms of another angle.
Use trigonometric identities: Use the fact that $\sin(\theta) = \sin(180° - \theta)$ or $\sin(360° - \theta)$ to find an equivalent expression. $\newline$ Since $309°$ is more than $180°$ , we can use the identity $\sin(\theta) = \sin(360° - \theta)$ to find a different angle that gives the same sine value.
Calculate equivalent angle: Calculate the equivalent angle using the identity. $\newline$ $\sin(309°) = \sin(360° - 309°)$ $\newline$ $\sin(309°) = \sin(51°)$
Verify new angle: Verify that the new angle is within the specified range. $\newline$ $51°$ is indeed within the range of $0°$ to $360°$ , so our expression is valid.