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11 grade maths others

How do you find the value of csc 30°?

Profile image of Aniket Singh
10 Months agoGrade
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1 Answer

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ApprovedApproved Tutor Answer10 Months ago

To find the value of csc 30°, you first need to understand that csc (cosecant) is the reciprocal of the sine function. This means:

Step-by-Step Calculation

1. **Find sin 30°**: The sine of 30 degrees is a well-known value. It equals:

  • sin 30° = 1/2

2. **Calculate csc 30°**: Since csc is the reciprocal of sin, you can find csc 30° by taking the reciprocal of sin 30°:

  • csc 30° = 1 / sin 30°
  • csc 30° = 1 / (1/2)

3. **Simplify**: Dividing by a fraction is the same as multiplying by its reciprocal:

  • csc 30° = 1 * (2/1) = 2

Final Result

The value of csc 30° is 2.

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