Express as a function of a DIFFERENT angle, 0^(@) <= theta < 360^(@). tan(356^(@)) tan(◻^(@))

Subtract 360 degrees: We need to find an angle that is coterminal with 356 degrees but falls within the first revolution (0 to 360 degrees). To do this, we can subtract 360 degrees from 356 degrees to find a coterminal angle in the negative direction. Calculation: 356° - 360° = -4°Add 180 degrees: The tangent function has a period of 180 degrees, meaning that tan(θ) = tan(θ + 180°). Since we have found that 356° is coterminal with -4°, we can add 180° to find a positive coterminal angle. Calculation: -4° + 180° = 176°Express as coterminal: Now we express tan(356°) as tan(176°) because they are coterminal angles and the tangent function has a period of 180 degrees.

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

tan(356^(@))

tan(◻^(@))

Express as a function of a DIFFERENT angle, 0^{\circ} \leq \theta<360^{\circ} . $\newline$ $\tan \left(356^{\circ}\right)$ $\newline$ $\tan \left(\square^{\circ}\right)$

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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(356^{\circ}\right)

\newline

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

Subtract $360$ degrees: We need to find an angle that is coterminal with $356$ degrees but falls within the first revolution ( $0$ to $360$ degrees). To do this, we can subtract $360$ degrees from $356$ degrees to find a coterminal angle in the negative direction. $\newline$ Calculation: $356° - 360° = -4°$
Add $180$ degrees: The tangent function has a period of $180$ degrees, meaning that $\tan(\theta) = \tan(\theta + 180°)$ . Since we have found that $356°$ is coterminal with $-4°$ , we can add $180°$ to find a positive coterminal angle. $\newline$ Calculation: $-4° + 180° = 176°$
Express as coterminal: Now we express $\tan(356°)$ as $\tan(176°)$ because they are coterminal angles and the tangent function has a period of $180$ degrees.