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What is the value of cot(45°)?

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Question: What is the value of cot(45°)?

Options:

  1. 0
  2. 1
  3. √3
  4. ∞

Correct Answer: 1

Solution:

cot(45°) = 1/tan(45°) = 1/1 = 1

What is the value of cot(45°)?

Practice Questions

Q1
What is the value of cot(45°)?
  1. 0
  2. 1
  3. √3
  4. ∞

Questions & Step-by-Step Solutions

What is the value of cot(45°)?
  • Step 1: Understand that cotangent (cot) is the reciprocal of tangent (tan).
  • Step 2: Recall the value of tan(45°). It is equal to 1.
  • Step 3: Use the relationship cot(θ) = 1/tan(θ).
  • Step 4: Substitute 45° into the equation: cot(45°) = 1/tan(45°).
  • Step 5: Replace tan(45°) with 1: cot(45°) = 1/1.
  • Step 6: Simplify the expression: cot(45°) = 1.
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