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15 Questions

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The Story of a Rainbow

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Questions and Answers

What did the gods do to help the farmer in the story?

Gave him a magical potion to heal his wife and son

Built a rainbow bridge for him to climb (correct)

Transformed him into a bird so he could fly

Sent him on a journey around the world to find his family

Why did the wife and son of the farmer leave him?

The gods called them to live in the heavens

The wife was tired of living with the farmer

They found a better place to live without the farmer

They got sick and had to leave for their health (correct)

What was the emotional state of the farmer after his wife and son left?

Angry and resentful

Sad and heartbroken (correct)

Relieved and content

Excited for new adventures

What kind of bridge did the gods build for the farmer?

A gorgeous, colorful bridge Signup and view all the answers

How did the gods feel about seeing the farmer sad?

They didn't want him to be sad and heartbroken Signup and view all the answers

In trigonometry, which ratio is defined as the opposite side divided by the hypotenuse?

Sine (sin) Signup and view all the answers

What is the reciprocal of cosine (cos) in trigonometry?

Secant (sec) Signup and view all the answers

Which trigonometric function can be expressed as the ratio of sine to cosine in a right triangle?

Tangent (tan) Signup and view all the answers

If the sine of an angle is 0.6, what is the cosine of that angle?

0.8 Signup and view all the answers

In trigonometry, what does the secant of an angle represent?

Hypotenuse divided by Adjacent side Signup and view all the answers

What is the relationship between $\sin(90^\circ - x)$ and $\cos x$?

$\sin(90^\circ - x) = \cos x$ Signup and view all the answers

Which trigonometric identity arises from the calculations involving sine and cosine values of known units?

$\sin^2x+\cos^2x=1$ Signup and view all the answers

What is the relationship between $\sin(-x)$ and $-\sin x$?

$\sin(-x)=-\sin{x}$ Signup and view all the answers

How does trigonometry extend beyond right triangles?

By exploring periodicity, circular functions, polar coordinates, and hyperbolic functions Signup and view all the answers

In what fields of study can trigonometry find applications according to the text?

Astronomy, engineering, architecture, music theory, geography, and art Signup and view all the answers