The Use of Trigonometry in Indian Astronomy

Description: This quiz will test your knowledge on the use of trigonometry in Indian astronomy.
Number of Questions: 15
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Tags: indian astronomy trigonometry mathematics
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Which Indian astronomer first developed the concept of the sine function?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Varahamihira


Correct Option: A
Explanation:

Aryabhata was the first Indian astronomer to develop the concept of the sine function, which he called the jya.

What is the value of the sine of 30 degrees?

  1. 0.5

  2. 0.707

  3. 1

  4. 1.414


Correct Option: A
Explanation:

The sine of 30 degrees is 0.5.

What is the value of the cosine of 45 degrees?

  1. 0.5

  2. 0.707

  3. 1

  4. 1.414


Correct Option: B
Explanation:

The cosine of 45 degrees is 0.707.

What is the value of the tangent of 60 degrees?

  1. 0.5

  2. 0.707

  3. 1

  4. 1.414


Correct Option:
Explanation:

The tangent of 60 degrees is 1.732.

Which Indian astronomer developed the concept of the versine function?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Varahamihira


Correct Option: C
Explanation:

Brahmagupta was the first Indian astronomer to develop the concept of the versine function, which he called the koti-jya.

What is the value of the versine of 30 degrees?

  1. 0.5

  2. 0.707

  3. 1

  4. 1.414


Correct Option: A
Explanation:

The versine of 30 degrees is 0.5.

What is the value of the haversine of 45 degrees?

  1. 0.5

  2. 0.707

  3. 1

  4. 1.414


Correct Option:
Explanation:

The haversine of 45 degrees is 0.25.

Which Indian astronomer developed the concept of the exsecant function?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Varahamihira


Correct Option: B
Explanation:

Bhaskara II was the first Indian astronomer to develop the concept of the exsecant function, which he called the koti-jyottama.

What is the value of the exsecant of 30 degrees?

  1. 2

  2. 2.732

  3. 3.464

  4. 4.196


Correct Option: A
Explanation:

The exsecant of 30 degrees is 2.

What is the value of the cosecant of 45 degrees?

  1. 1.414

  2. 2

  3. 2.732

  4. 3.464


Correct Option: A
Explanation:

The cosecant of 45 degrees is 1.414.

Which Indian astronomer developed the concept of the cotangent function?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Varahamihira


Correct Option: B
Explanation:

Bhaskara II was the first Indian astronomer to develop the concept of the cotangent function, which he called the koti-sparsa.

What is the value of the cotangent of 30 degrees?

  1. 0.577

  2. 0.707

  3. 1

  4. 1.414


Correct Option:
Explanation:

The cotangent of 30 degrees is 1.732.

What is the value of the arc sine of 0.5?

  1. 30 degrees

  2. 45 degrees

  3. 60 degrees

  4. 90 degrees


Correct Option: A
Explanation:

The arc sine of 0.5 is 30 degrees.

What is the value of the arc cosine of 0.707?

  1. 30 degrees

  2. 45 degrees

  3. 60 degrees

  4. 90 degrees


Correct Option: B
Explanation:

The arc cosine of 0.707 is 45 degrees.

What is the value of the arc tangent of 1?

  1. 30 degrees

  2. 45 degrees

  3. 60 degrees

  4. 90 degrees


Correct Option: B
Explanation:

The arc tangent of 1 is 45 degrees.

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