If cot θ = 1, what is the value of θ?

Practice Questions

Q1
If cot θ = 1, what is the value of θ?
  1. 45°
  2. 90°
  3. 180°

Questions & Step-by-Step Solutions

If cot θ = 1, what is the value of θ?
  • Step 1: Understand that cotangent (cot) is the reciprocal of tangent (tan).
  • Step 2: If cot θ = 1, then tan θ must also equal 1 because cot θ = 1 means tan θ = 1.
  • Step 3: Recall the angle where tan θ = 1. This occurs at 45 degrees.
  • Step 4: Therefore, if cot θ = 1, then θ = 45°.
  • Trigonometric Functions – Understanding the relationship between cotangent and tangent functions, and their values at specific angles.
  • Angle Measurement – Recognizing that angles can be expressed in degrees or radians, and knowing the common angles where trigonometric functions have specific values.
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