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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∘≤θ<360∘ 0^{\circ} \leq \theta<360^{\circ} .\newlinetan⁡(356∘) \tan \left(356^{\circ}\right) \newlinetan⁡(□∘) \tan \left(\square^{\circ}\right)

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Q. Express as a function of a DIFFERENT angle, 0∘≤θ<360∘ 0^{\circ} \leq \theta<360^{\circ} .\newlinetan⁡(356∘) \tan \left(356^{\circ}\right) \newlinetan⁡(□∘) \tan \left(\square^{\circ}\right)
  1. Subtract 360360 degrees: We need to find an angle that is coterminal with 356356 degrees but falls within the first revolution (00 to 360360 degrees). To do this, we can subtract 360360 degrees from 356356 degrees to find a coterminal angle in the negative direction.\newlineCalculation: 356°−360°=−4°356° - 360° = -4°
  2. Add 180180 degrees: The tangent function has a period of 180180 degrees, meaning that tan⁡(θ)=tan⁡(θ+180°)\tan(\theta) = \tan(\theta + 180°). Since we have found that 356°356° is coterminal with −4°-4°, we can add 180°180° to find a positive coterminal angle.\newlineCalculation: −4°+180°=176°-4° + 180° = 176°
  3. Express as coterminal: Now we express tan⁡(356°)\tan(356°) as tan⁡(176°)\tan(176°) because they are coterminal angles and the tangent function has a period of 180180 degrees.

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