Express as a function of a DIFFERENT angle, 0^(@) <= theta < 360^(@). sin(332^(@)) sin(◻^(@))

Find Equivalent Angle: We need to find an equivalent angle for 332° that falls within the first or second quadrant (0° to 180°) to express sin(332°) as a function of a different angle. We can use the fact that sine is a periodic function with a period of 360°, and that sin(θ) = sin(360° - θ) for angles in the fourth quadrant.Calculate Reference Angle: Calculate the reference angle for 332°. The reference angle is the acute angle formed by the terminal side of the angle and the x-axis. For an angle in the fourth quadrant, the reference angle is 360° - θ.Substitute into Formula: Substitute 332° into the reference angle formula: reference angle = 360° - 332° = 28°.Express as sin(28°): Now we can express sin(332°) as sin(360° - 28°), which is equivalent to sin(28°) because sine is a co-function of its complement.Final Result: Since 28° is in the first quadrant, where sine is positive, we can say that sin(332°) = sin(28°).

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

sin(332^(@))

sin(◻^(@))

Express as a function of a DIFFERENT angle, 0^{\circ} \leq \theta<360^{\circ} . $\newline$ $\sin \left(332^{\circ}\right)$ $\newline$ $\sin \left(\square^{\circ}\right)$

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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(332^{\circ}\right)

\newline

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

Find Equivalent Angle: We need to find an equivalent angle for $332^\circ$ that falls within the first or second quadrant ( $0^\circ$ to $180^\circ$ ) to express $\sin(332^\circ)$ as a function of a different angle. We can use the fact that sine is a periodic function with a period of $360^\circ$ , and that $\sin(\theta) = \sin(360^\circ - \theta)$ for angles in the fourth quadrant.
Calculate Reference Angle: Calculate the reference angle for $332^\circ$ . The reference angle is the acute angle formed by the terminal side of the angle and the x-axis. For an angle in the fourth quadrant, the reference angle is $360^\circ - \theta$ .
Substitute into Formula: Substitute $332^\circ$ into the reference angle formula: reference angle = $360^\circ - 332^\circ = 28^\circ$ .
Express as $\sin(28°)$ : Now we can express $\sin(332°)$ as $\sin(360° - 28°)$ , which is equivalent to $\sin(28°)$ because sine is a co-function of its complement.
Final Result: Since $28°$ is in the first quadrant, where sine is positive, we can say that $\sin(332°) = \sin(28°)$ .