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The Historical Significance of Indian Contributions to Trigonometry

Description: This quiz is designed to assess your knowledge about the historical significance of Indian contributions to trigonometry.
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. Bhaskara II

  3. Brahmagupta

  4. Varahamihira


Correct Option: A
Explanation:

Aryabhata (476-550 CE) is widely regarded as the father of Indian trigonometry. He made significant contributions to the field, including the development of sine and cosine functions.

Which Indian mathematician is credited with developing the concept of the sine function?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Varahamihira


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.

Which Indian mathematician developed the concept of the cosine function?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Varahamihira


Correct Option: B
Explanation:

Bhaskara II (1114-1185 CE) developed the concept of the cosine function. He defined the cosine of an angle as the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle.

Which Indian mathematician developed the concept of the tangent function?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Varahamihira


Correct Option: C
Explanation:

Brahmagupta (598-668 CE) developed 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.

Which Indian mathematician developed the concept of the secant function?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Varahamihira


Correct Option: D
Explanation:

Varahamihira (505-587 CE) developed 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.

Which Indian mathematician developed the concept of the cosecant function?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Varahamihira


Correct Option: D
Explanation:

Varahamihira also developed the concept of the cosecant function. He defined the cosecant of an angle as the ratio of the length of the hypotenuse to the length of the opposite side in a right triangle.

Which Indian mathematician developed the concept of the cotangent function?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Varahamihira


Correct Option: C
Explanation:

Brahmagupta also developed 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.

Which Indian mathematician developed the concept of the inverse sine function?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Varahamihira


Correct Option: B
Explanation:

Bhaskara II developed the concept of the inverse sine function. He defined the inverse sine of an angle as the angle whose sine is equal to the given value.

Which Indian mathematician developed the concept of the inverse cosine function?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Varahamihira


Correct Option: B
Explanation:

Bhaskara II also developed the concept of the inverse cosine function. He defined the inverse cosine of an angle as the angle whose cosine is equal to the given value.

Which Indian mathematician developed the concept of the inverse tangent function?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Varahamihira


Correct Option: B
Explanation:

Bhaskara II also developed the concept of the inverse tangent function. He defined the inverse tangent of an angle as the angle whose tangent is equal to the given value.

Which Indian mathematician developed the concept of the inverse secant function?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Varahamihira


Correct Option: B
Explanation:

Bhaskara II also developed the concept of the inverse secant function. He defined the inverse secant of an angle as the angle whose secant is equal to the given value.

Which Indian mathematician developed the concept of the inverse cosecant function?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Varahamihira


Correct Option: B
Explanation:

Bhaskara II also developed the concept of the inverse cosecant function. He defined the inverse cosecant of an angle as the angle whose cosecant is equal to the given value.

Which Indian mathematician developed the concept of the inverse cotangent function?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Varahamihira


Correct Option: B
Explanation:

Bhaskara II also developed the concept of the inverse cotangent function. He defined the inverse cotangent of an angle as the angle whose cotangent is equal to the given value.

How did Indian mathematicians use trigonometry in astronomy?

  1. To calculate the positions of stars and planets

  2. To predict eclipses

  3. To determine the time of day

  4. All of the above


Correct Option: D
Explanation:

Indian mathematicians used trigonometry in astronomy to calculate the positions of stars and planets, predict eclipses, and determine the time of day.

How did Indian mathematicians use trigonometry in architecture?

  1. To design temples and other buildings

  2. To determine the height of structures

  3. To calculate the angles of roofs

  4. All of the above


Correct Option: D
Explanation:

Indian mathematicians used trigonometry in architecture to design temples and other buildings, determine the height of structures, and calculate the angles of roofs.

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