Distance to the Sun and Moon

The video tutorial explores the history and application of trigonometric functions such as sine, cosine, and tangent. It highlights how Indian mathematicians calculated these values by hand to solve astronomical problems. The tutorial explains the basic trigonometric ratios in a right triangle and their graphical representation as waves. It also discusses the historical use of trigonometry in determining the distances between celestial bodies, showcasing the ingenuity of ancient Indian astronomers.

What are trigonometric functions primarily used for in mathematics?

• To calculate the area of a circle

• To determine unknown angles or lengths in a triangle

• To solve linear equations

• To measure the volume of a cube

Which trigonometric function is used to find the ratio of the opposite side to the hypotenuse?

• Cosine

• Tangent

• Secant

• Sine

What is the ratio calculated by the cosine function?

• Opposite side to hypotenuse

• Opposite side to adjacent side

• Adjacent side to hypotenuse

• Adjacent side to opposite side

In ancient times, how did Indian mathematicians calculate trigonometric values?

• Using digital calculators

• By drawing graphs or using tables

• With the help of computers

• By guessing the values

What did Indian astronomers determine about the Sun's distance from Earth using trigonometry?

• The Sun is 500 times farther than the Moon

• The Sun is 400 times farther than the Moon

• The Sun is 200 times farther than the Moon

• The Sun is 100 times farther than the Moon