Express as a function of a DIFFERENT angle, 0^(@) <= theta < 360^(@). tan(324^(@)) tan(◻^(@))

Understand the problem: Understand the problem. We need to express tan(324°) as a function of a different angle within the range of 0° to 360°. To do this, we can use the periodic properties of the tangent function and the fact that it is negative in the fourth quadrant, where 324° lies.Find reference angle: Find the reference angle for 324°. The reference angle is the acute angle that the terminal side of the angle makes with the x-axis. For an angle in the fourth quadrant, the reference angle is 360° - θ. So, the reference angle for 324° is 360° - 324° = 36°.Use reference angle: Use the reference angle to express tan(324°). Since tan(θ) = tan(θ + n*180°) for any integer n, and the tangent function is negative in the fourth quadrant, we can express tan(324°) as -tan(36°).

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

tan(324^(@))

tan(◻^(@))

Express as a function of a DIFFERENT angle, 0^{\circ} \leq \theta<360^{\circ} . $\newline$ $\tan \left(324^{\circ}\right)$ $\newline$ $\tan \left(\square^{\circ}\right)$

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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

\tan \left(324^{\circ}\right)

\newline

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

Understand the problem: Understand the problem. $\newline$ We need to express $\tan(324°)$ as a function of a different angle within the range of $0°$ to $360°$ . To do this, we can use the periodic properties of the tangent function and the fact that it is negative in the fourth quadrant, where $324°$ lies.
Find reference angle: Find the reference angle for $324°$ . The reference angle is the acute angle that the terminal side of the angle makes with the x-axis. For an angle in the fourth quadrant, the reference angle is $360° - \theta$ . So, the reference angle for $324°$ is $360° - 324° = 36°$ .
Use reference angle: Use the reference angle to express $\tan(324°)$ . Since $\tan(\theta) = \tan(\theta + n\cdot180°)$ for any integer $n$ , and the tangent function is negative in the fourth quadrant, we can express $\tan(324°)$ as $-\tan(36°)$ .