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The Use of Trigonometry in Indian Military Science

Description: This quiz is designed to assess your understanding of the use of trigonometry in Indian military science.
Number of Questions: 16
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Tags: trigonometry indian military science mathematics
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In ancient India, which trigonometric function was known as the "jya"?

  1. Sine

  2. Cosine

  3. Tangent

  4. Cosecant


Correct Option: A
Explanation:

The sine function was known as the "jya" in ancient India.

What was the primary use of trigonometry in Indian military science?

  1. Calculating the range of weapons

  2. Determining the height of fortifications

  3. Measuring the distance to enemy positions

  4. All of the above


Correct Option: D
Explanation:

Trigonometry was used in Indian military science for a variety of purposes, including calculating the range of weapons, determining the height of fortifications, and measuring the distance to enemy positions.

Which Indian mathematician is credited with developing 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.

What is the formula for calculating the sine of an angle in a right triangle?

  1. $$sin \theta = \frac{opposite}{hypotenuse}$$

  2. $$sin \theta = \frac{adjacent}{hypotenuse}$$

  3. $$sin \theta = \frac{opposite}{adjacent}$$

  4. $$sin \theta = \frac{hypotenuse}{opposite}$$


Correct Option: A
Explanation:

The formula for calculating the sine of an angle in a right triangle is $$sin \theta = \frac{opposite}{hypotenuse}$$

Which Indian mathematician developed the concept of the cosine function?

  1. Aryabhata

  2. Brahmagupta

  3. Bhaskara II

  4. Madhava of Sangamagrama


Correct Option: B
Explanation:

Brahmagupta developed the concept of the cosine function.

What is the formula for calculating the cosine of an angle in a right triangle?

  1. $$cos \theta = \frac{opposite}{hypotenuse}$$

  2. $$cos \theta = \frac{adjacent}{hypotenuse}$$

  3. $$cos \theta = \frac{opposite}{adjacent}$$

  4. $$cos \theta = \frac{hypotenuse}{opposite}$$


Correct Option: B
Explanation:

The formula for calculating the cosine of an angle in a right triangle is $$cos \theta = \frac{adjacent}{hypotenuse}$$

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 developed the concept of the tangent function.

What is the formula for calculating the tangent of an angle in a right triangle?

  1. $$tan \theta = \frac{opposite}{hypotenuse}$$

  2. $$tan \theta = \frac{adjacent}{hypotenuse}$$

  3. $$tan \theta = \frac{opposite}{adjacent}$$

  4. $$tan \theta = \frac{hypotenuse}{opposite}$$


Correct Option: C
Explanation:

The formula for calculating the tangent of an angle in a right triangle is $$tan \theta = \frac{opposite}{adjacent}$$

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 developed the concept of the cotangent function.

What is the formula for calculating the cotangent of an angle in a right triangle?

  1. $$cot \theta = \frac{hypotenuse}{opposite}$$

  2. $$cot \theta = \frac{hypotenuse}{adjacent}$$

  3. $$cot \theta = \frac{opposite}{hypotenuse}$$

  4. $$cot \theta = \frac{adjacent}{opposite}$$


Correct Option: D
Explanation:

The formula for calculating the cotangent of an angle in a right triangle is $$cot \theta = \frac{adjacent}{opposite}$$

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 developed the concept of the secant function.

What is the formula for calculating the secant of an angle in a right triangle?

  1. $$sec \theta = \frac{hypotenuse}{opposite}$$

  2. $$sec \theta = \frac{hypotenuse}{adjacent}$$

  3. $$sec \theta = \frac{opposite}{hypotenuse}$$

  4. $$sec \theta = \frac{adjacent}{opposite}$$


Correct Option: B
Explanation:

The formula for calculating the secant of an angle in a right triangle is $$sec \theta = \frac{hypotenuse}{adjacent}$$

Which Indian mathematician developed the concept of the cosecant function?

  1. Aryabhata

  2. Brahmagupta

  3. Bhaskara II

  4. Madhava of Sangamagrama


Correct Option: D
Explanation:

Madhava of Sangamagrama developed the concept of the cosecant function.

What is the formula for calculating the cosecant of an angle in a right triangle?

  1. $$cosec \theta = \frac{hypotenuse}{opposite}$$

  2. $$cosec \theta = \frac{hypotenuse}{adjacent}$$

  3. $$cosec \theta = \frac{opposite}{hypotenuse}$$

  4. $$cosec \theta = \frac{adjacent}{opposite}$$


Correct Option: A
Explanation:

The formula for calculating the cosecant of an angle in a right triangle is $$cosec \theta = \frac{hypotenuse}{opposite}$$

Which Indian mathematician developed the concept of the versine function?

  1. Aryabhata

  2. Brahmagupta

  3. Bhaskara II

  4. Madhava of Sangamagrama


Correct Option: D
Explanation:

Madhava of Sangamagrama developed the concept of the versine function.

What is the formula for calculating the versine of an angle in a right triangle?

  1. $$vers \theta = 1 - \sin \theta$$

  2. $$vers \theta = 1 - \cos \theta$$

  3. $$vers \theta = 1 - \tan \theta$$

  4. $$vers \theta = 1 - \cot \theta$$


Correct Option: A
Explanation:

The formula for calculating the versine of an angle in a right triangle is $$vers \theta = 1 - \sin \theta$$

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