Trigonometry Basics Quiz

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Questions and Answers

What is the sine of a right triangle defined as?

  • Adjacent side over hypotenuse
  • Opposite side over adjacent side
  • Opposite side over hypotenuse (correct)
  • Hypotenuse over adjacent side

Which equation represents the Pythagorean theorem?

  • $a^2 + b^2 = c^2$ (correct)
  • $2a + 2b = c$
  • $a^2 - b^2 = c^2$
  • $a + b = c^2$

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

  • Hypotenuse over opposite side
  • Opposite side over hypotenuse
  • Adjacent side over opposite side
  • Adjacent side over hypotenuse (correct)

What does the tangent of an angle represent in right triangle trigonometry?

<p>Opposite side divided by adjacent side (B)</p> Signup and view all the answers

In trigonometry, which function is defined as the ratio of the opposite side to the hypotenuse?

<p>Sine (D)</p> Signup and view all the answers

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Study Notes

Sine in Right Triangle

  • The sine of an angle in a right triangle is defined as the ratio of the length of the opposite side to the length of the hypotenuse.

Pythagorean Theorem

  • The Pythagorean theorem is represented by the equation (a^2 + b^2 = c^2), where (a) and (b) are the lengths of the legs, and (c) is the length of the hypotenuse.

Cosine in Right Triangle

  • The cosine of an angle in a right triangle is defined as the ratio of the length of the adjacent side to the length of the hypotenuse.

Tangent in Right Triangle Trigonometry

  • The tangent of an angle represents the ratio of the length of the opposite side to the length of the adjacent side in a right triangle.

Trigonometric Function of Sine

  • In trigonometry, the sine function is specifically the ratio of the opposite side to the hypotenuse of a right triangle.

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