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If sin(x) = 0.8, what is the value of csc(x)?

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Question: If sin(x) = 0.8, what is the value of csc(x)?

Options:

  1. 0.8
  2. 1.25
  3. 1.2
  4. 0.5

Correct Answer: 1.25

Solution: 

csc(x) = 1/sin(x) = 1/0.8 = 1.25.

If sin(x) = 0.8, what is the value of csc(x)?

Practice Questions

Q1
If sin(x) = 0.8, what is the value of csc(x)?
  1. 0.8
  2. 1.25
  3. 1.2
  4. 0.5

Questions & Step-by-Step Solutions

If sin(x) = 0.8, what is the value of csc(x)?
  • Step 1: Understand that csc(x) is the cosecant function, which is the reciprocal of the sine function.
  • Step 2: Recall the relationship: csc(x) = 1/sin(x).
  • Step 3: Since we know that sin(x) = 0.8, substitute this value into the equation: csc(x) = 1/0.8.
  • Step 4: Calculate 1 divided by 0.8. This gives you csc(x) = 1.25.
  • Trigonometric Functions – Understanding the relationship between sine and cosecant functions.
  • Reciprocal Identities – Applying the reciprocal identity of sine to find cosecant.
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