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What is the equation to solve an unknown angle using tangent

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Find measures of complementary, supplementary, vertical, and adjacent anglesright chevron icon

Full solution

Q. What is the equation to solve an unknown angle using tangent
  1. Identify Tangent Ratio: Identify the tangent ratio which is the ratio of the opposite side to the adjacent side in a right triangle.
  2. Write Tangent Equation: Write down the tangent equation: tan⁡(angle)=oppositeadjacent\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}.
  3. Use Inverse Tangent Function: To solve for the angle, use the inverse tangent function: angle=arctan⁡(oppositeadjacent)\text{angle} = \arctan(\frac{\text{opposite}}{\text{adjacent}}).
  4. Check Calculator Mode: Make sure to use a calculator that is set to the correct mode (degrees or radians) depending on what the problem requires.

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