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If cos(x) = 0, what is the value of tan(x)?

Practice Questions

Q1
If cos(x) = 0, what is the value of tan(x)?
  1. 0
  2. 1
  3. undefined
  4. ∞

Questions & Step-by-Step Solutions

If cos(x) = 0, what is the value of tan(x)?
  • Step 1: Understand the relationship between sine, cosine, and tangent. The formula for tangent is tan(x) = sin(x) / cos(x).
  • Step 2: Identify the given information. We know that cos(x) = 0.
  • Step 3: Substitute the value of cos(x) into the tangent formula. This gives us tan(x) = sin(x) / 0.
  • Step 4: Recognize that dividing by zero is not possible in mathematics. Therefore, tan(x) is undefined when cos(x) = 0.
  • Step 5: Conclude that the value of tan(x) is undefined.
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