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What is the value of csc 30°?

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Question: What is the value of csc 30°?

Options:

  1. 2
  2. 1/2
  3. √3
  4. 1

Correct Answer: 2

Solution: 

Cosecant is the reciprocal of sine. Since sin 30° = 1/2, csc 30° = 1 / (1/2) = 2.

What is the value of csc 30°?

Practice Questions

Q1
What is the value of csc 30°?
  1. 2
  2. 1/2
  3. √3
  4. 1

Questions & Step-by-Step Solutions

What is the value of csc 30°?
  • Step 1: Understand that csc (cosecant) is the reciprocal of sin (sine).
  • Step 2: Find the value of sin 30°. It is known that sin 30° = 1/2.
  • Step 3: Use the definition of cosecant. Since csc θ = 1 / sin θ, we can write csc 30° = 1 / sin 30°.
  • Step 4: Substitute the value of sin 30° into the equation. So, csc 30° = 1 / (1/2).
  • Step 5: Calculate 1 / (1/2). This is the same as multiplying 1 by 2, which equals 2.
  • Step 6: Therefore, the value of csc 30° is 2.
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