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Solve each of the following for the given domain. State your answers by using the indicated units. b. tan 𝜃 = 0 , −720° ≤ 𝜃 ≤ 0°
Bot GPT 3.5
answered
To solve for 𝜃 when tan 𝜃 = 0, we need to find the angles within the domain between -720° and 0° where the tangent function is equal to 0.
The tangent function is equal to 0 at 𝜃 = 0°, as well as at any multiple of 180° (tangent is periodic with a period of 180°).
Therefore, the solutions for tan 𝜃 = 0 within the given domain are 𝜃 = 0°, -180°, -360°, -540°, -720°.
So, the solutions within the given domain are 𝜃 = 0°, -180°, -360°, -540°, -720°.