Trigonometry Mastery
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Questions and Answers

Which of the following trigonometric functions is equal to the ratio of the length of the side adjacent to an angle to the length of the hypotenuse?

  • Secant
  • Sine
  • Cosine (correct)
  • Tangent
  • In a right triangle, if the length of the hypotenuse is 10 units and the length of one of the legs is 6 units, what is the value of the sine of the angle opposite to the leg of length 6 units?

  • 0.4 (correct)
  • 1.0
  • 0.6
  • 0.8
  • Which of the following trigonometric identities is true for all values of the angle?

  • sin^2(angle) + cos^2(angle) = 1 (correct)
  • tan(angle) = sin(angle)/cos(angle)
  • sec(angle) = 1/cos(angle)
  • cot(angle) = 1/tan(angle)
  • Study Notes

    Trigonometric Functions

    • The trigonometric function equal to the ratio of the length of the side adjacent to an angle to the length of the hypotenuse is cosine.

    Right Triangles

    • In a right triangle, if the length of the hypotenuse is 10 units and the length of one of the legs is 6 units, the sine of the angle opposite to the leg of length 6 units can be calculated.
    • The sine of the angle is equal to the ratio of the length of the opposite side to the length of the hypotenuse.

    Trigonometric Identities

    • There is a trigonometric identity that is true for all values of the angle.

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    Description

    Test your knowledge of trigonometry with these 15 important multiple-choice questions. From identifying trigonometric functions to solving for angle values, this quiz covers a range of topics in trigonometry. Challenge yourself and see how well you understand the fundamental concepts of this branch of mathematics.

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