Parameshvara's Contributions to Trigonometry

Description: Parameshvara was an Indian mathematician and astronomer who made significant contributions to trigonometry. He is best known for his work on the sine table, which was used to calculate the values of the sine function for different angles.
Number of Questions: 5
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What is Parameshvara most famous for?

  1. His work on the sine table

  2. His work on the cosine table

  3. His work on the tangent table

  4. His work on the cotangent table


Correct Option: A
Explanation:

Parameshvara is most famous for his work on the sine table, which was used to calculate the values of the sine function for different angles.

What is the sine table?

  1. A table of values for the sine function

  2. A table of values for the cosine function

  3. A table of values for the tangent function

  4. A table of values for the cotangent function


Correct Option: A
Explanation:

The sine table is a table of values for the sine function, which gives the value of the sine of an angle for different values of the angle.

How was the sine table used?

  1. To calculate the values of the sine function

  2. To calculate the values of the cosine function

  3. To calculate the values of the tangent function

  4. To calculate the values of the cotangent function


Correct Option: A
Explanation:

The sine table was used to calculate the values of the sine function for different angles.

What was the significance of Parameshvara's work on the sine table?

  1. It allowed for more accurate calculations of angles

  2. It allowed for more accurate calculations of distances

  3. It allowed for more accurate calculations of areas

  4. It allowed for more accurate calculations of volumes


Correct Option: A
Explanation:

Parameshvara's work on the sine table allowed for more accurate calculations of angles, which was important for a variety of applications, such as astronomy, navigation, and surveying.

In addition to his work on the sine table, what other contributions did Parameshvara make to trigonometry?

  1. He developed a method for calculating the sine of an angle from the sine of its half-angle

  2. He developed a method for calculating the cosine of an angle from the sine of its half-angle

  3. He developed a method for calculating the tangent of an angle from the sine and cosine of its half-angle

  4. All of the above


Correct Option: D
Explanation:

In addition to his work on the sine table, Parameshvara also developed methods for calculating the sine, cosine, and tangent of an angle from the sine of its half-angle.

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