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The Development of Trigonometric Functions in India

Description: This quiz is designed to evaluate your understanding of the development of trigonometric functions in India. The questions cover various aspects of this topic, including the contributions of Indian mathematicians, the development of trigonometric tables, and the applications of trigonometry in Indian astronomy and architecture.
Number of Questions: 15
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Tags: indian mathematics trigonometry history of mathematics
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Who is considered to be the father of Indian trigonometry?

  1. Aryabhata

  2. Brahmagupta

  3. Bhaskara II

  4. Madhava of Sangamagrama


Correct Option: A
Explanation:

Aryabhata is widely regarded as the father of Indian trigonometry for his significant contributions to the field. He developed trigonometric tables, introduced the concept of sine, and formulated various trigonometric identities.

What is the name of the trigonometric table developed by Aryabhata?

  1. Aryabhatiya

  2. Brahmasphuta Siddhanta

  3. Lilavati

  4. Siddhānta Shiromani


Correct Option: A
Explanation:

Aryabhata's trigonometric table is known as the Aryabhatiya. It contains a table of sines for angles from 0 to 90 degrees at intervals of 3.75 degrees.

Which Indian mathematician extended Aryabhata's work on trigonometry?

  1. Brahmagupta

  2. Bhaskara II

  3. Madhava of Sangamagrama

  4. Nilakantha Somayaji


Correct Option: A
Explanation:

Brahmagupta extended Aryabhata's work on trigonometry by developing more accurate trigonometric tables and formulating new trigonometric identities. He also introduced the concept of versine.

What is the name of the trigonometric treatise written by Bhaskara II?

  1. Aryabhatiya

  2. Brahmasphuta Siddhanta

  3. Lilavati

  4. Siddhānta Shiromani


Correct Option: D
Explanation:

Bhaskara II's trigonometric treatise is known as the Siddhānta Shiromani. It contains a comprehensive treatment of trigonometry, including the development of trigonometric tables, the formulation of trigonometric identities, and the application of trigonometry to astronomy and architecture.

Which Indian mathematician developed the concept of the sine function?

  1. Aryabhata

  2. Brahmagupta

  3. Bhaskara II

  4. Madhava of Sangamagrama


Correct Option: A
Explanation:

Aryabhata is credited with developing the concept of the sine function. He defined the sine of an angle as the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle.

What is the name of the trigonometric function that is the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle?

  1. Sine

  2. Cosine

  3. Tangent

  4. Cosecant


Correct Option: B
Explanation:

The trigonometric function that is the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle is called the cosine.

Which Indian mathematician developed the concept of the tangent function?

  1. Aryabhata

  2. Brahmagupta

  3. Bhaskara II

  4. Madhava of Sangamagrama


Correct Option: C
Explanation:

Bhaskara II is credited with developing the concept of the tangent function. He defined the tangent of an angle as the ratio of the length of the opposite side to the length of the adjacent side in a right triangle.

What is the name of the trigonometric function that is the ratio of the length of the hypotenuse to the length of the opposite side in a right triangle?

  1. Sine

  2. Cosine

  3. Tangent

  4. Cosecant


Correct Option: D
Explanation:

The trigonometric function that is the ratio of the length of the hypotenuse to the length of the opposite side in a right triangle is called the cosecant.

Which Indian mathematician developed the concept of the secant function?

  1. Aryabhata

  2. Brahmagupta

  3. Bhaskara II

  4. Madhava of Sangamagrama


Correct Option: D
Explanation:

Madhava of Sangamagrama is credited with developing the concept of the secant function. He defined the secant of an angle as the ratio of the length of the hypotenuse to the length of the adjacent side in a right triangle.

What is the name of the trigonometric function that is the ratio of the length of the hypotenuse to the length of the adjacent side in a right triangle?

  1. Sine

  2. Cosine

  3. Tangent

  4. Secant


Correct Option: D
Explanation:

The trigonometric function that is the ratio of the length of the hypotenuse to the length of the adjacent side in a right triangle is called the secant.

Which Indian mathematician developed the concept of the cotangent function?

  1. Aryabhata

  2. Brahmagupta

  3. Bhaskara II

  4. Madhava of Sangamagrama


Correct Option: D
Explanation:

Madhava of Sangamagrama is credited with developing the concept of the cotangent function. He defined the cotangent of an angle as the ratio of the length of the adjacent side to the length of the opposite side in a right triangle.

What is the name of the trigonometric function that is the ratio of the length of the adjacent side to the length of the opposite side in a right triangle?

  1. Sine

  2. Cosine

  3. Tangent

  4. Cotangent


Correct Option: D
Explanation:

The trigonometric function that is the ratio of the length of the adjacent side to the length of the opposite side in a right triangle is called the cotangent.

Which Indian mathematician developed the concept of the versine function?

  1. Aryabhata

  2. Brahmagupta

  3. Bhaskara II

  4. Madhava of Sangamagrama


Correct Option: B
Explanation:

Brahmagupta is credited with developing the concept of the versine function. He defined the versine of an angle as the difference between the length of the hypotenuse and the length of the cosine in a right triangle.

What is the name of the trigonometric function that is the difference between the length of the hypotenuse and the length of the cosine in a right triangle?

  1. Sine

  2. Cosine

  3. Tangent

  4. Versine


Correct Option: D
Explanation:

The trigonometric function that is the difference between the length of the hypotenuse and the length of the cosine in a right triangle is called the versine.

Which Indian mathematician developed the concept of the haversine function?

  1. Aryabhata

  2. Brahmagupta

  3. Bhaskara II

  4. Madhava of Sangamagrama


Correct Option: D
Explanation:

Madhava of Sangamagrama is credited with developing the concept of the haversine function. He defined the haversine of an angle as half of the versine of twice the angle.

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