Trigonometry Quiz

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Questions and Answers

What is the value of sin(90°)?

  • 0.5
  • 0
  • 1 (correct)
  • Undefined

Which function represents the ratio of the opposite side to the hypotenuse in a right triangle?

  • sine (correct)
  • cosine
  • secant
  • tangent

What is the cosine of 30°?

  • $\sqrt{3}$
  • $\frac{\sqrt{3}}{2}$ (correct)
  • $\frac{1}{2}$
  • 1

Which angle has a tangent value of 1?

<p>45° (B)</p> Signup and view all the answers

What is the relationship between the angles in a triangle?

<p>Their sum is 180°. (B)</p> Signup and view all the answers

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Study Notes

Trigonometric Functions and Values

  • The value of sin(90°) is equal to 1, indicating that at this angle, the opposite side equals the hypotenuse in a right triangle configuration.
  • In a right triangle, the sine function represents the ratio of the length of the opposite side to the length of the hypotenuse.
  • Cosine of 30° is √3/2, representing the ratio of the length of the adjacent side to the hypotenuse in a right triangle.

Tangent Values

  • The angle with a tangent value of 1 is 45°. This means at 45°, the ratio of the opposite side to the adjacent side is equal.

Triangle Angle Relationships

  • The sum of angles in any triangle is always 180°. This fundamental property plays a crucial role in various geometric calculations and proofs.

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