Create a homework in a form of a quiz. The academic subject for which the text must be created - Mathematics. It should be for students stud...
HomeworkCreate a homework in a form of a quiz
Which subjectMathematics
What age groupYear or Grade 6
What topictrigonometry
Question typesOpen-ended
Number of questions5
Number of answers4
Correct answersExactly 1
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Instructions: Answer the following questions to the best of your ability. Write down your answer to each question on a separate sheet of paper.

  1. What is trigonometry?
  2. Explain how to find the sine, cosine, and tangent of an angle in a right triangle.
  3. What is the Pythagorean theorem?
  4. Given a right triangle with legs of length 3 and 4, find the length of the hypotenuse.
  5. If the opposite side of an angle in a right triangle is 6 and the hypotenuse is 10, what is the sine of the angle?

Answers:

  1. Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles.
  2. To find the sine, cosine, and tangent of an angle in a right triangle, you can divide the length of the opposite side, adjacent side, or hypotenuse by another side respectively.
  3. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides (a²+b²=c²).
  4. Using the Pythagorean theorem, the length of the hypotenuse is sqrt(3²+4²) = 5.
  5. The sine of the angle is opposite/hypotenuse, which is 6/10 or 0.6.