Gr 10 Math Ch 4: Defining the Trigonometric Ratios
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Gr 10 Math Ch 4: Defining the Trigonometric Ratios

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Questions and Answers

What does the sine of an angle in a right-angled triangle represent?

  • The ratio of the adjacent side to the hypotenuse
  • The ratio of the opposite side to the hypotenuse (correct)
  • The ratio of the hypotenuse to the opposite side
  • The ratio of the opposite side to the adjacent side

    • Which of the following correctly describes the tangent ratio in a right-angled triangle?

  • It is the opposite side divided by the adjacent side (correct)
  • It is the hypotenuse divided by the opposite side
  • It is the hypotenuse divided by the adjacent side
  • It is the adjacent side divided by the opposite side

    • What is the mnemonic used to memorize the basic trigonometric ratios?

  • Sop Cah Toa
  • Sah Cah Toa
  • Sas Cos Toa
  • Soh Cah Toa (correct)

    • In relation to angle θ, which side is referred to as the hypotenuse?

    <p>The side opposite the right angle</p> Signup and view all the answers

    If the length of the opposite side is 3 units and the hypotenuse is 5 units, what is the sine of the angle θ?

    <p>0.6</p> Signup and view all the answers

    Which trigonometric ratio is used to relate the adjacent side to the hypotenuse in a right-angled triangle?

    <p>Cosine</p> Signup and view all the answers

    Which ratio is defined as the length of the opposite side divided by the length of the hypotenuse?

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

    What does the tangent ratio ( an heta) represent in a right-angled triangle?

    <p>The ratio of opposite to adjacent</p> Signup and view all the answers

    Which option correctly identifies the side opposite to angle θ in a right-angled triangle?

    <p>Opposite</p> Signup and view all the answers

    Which mnemonic can assist in recalling the definitions of the sine, cosine, and tangent ratios?

    <p>Soh Cah Toa</p> Signup and view all the answers

    If the hypotenuse is 10 units and the adjacent side is 6 units, what is the cosine of angle θ?

    <p>$ rac{6}{10}$</p> Signup and view all the answers

    In a right-angled triangle, which aspect connects the lengths of the sides to the angles?

    <p>Trigonometric ratios</p> Signup and view all the answers

    What does the cosine of an angle in a right-angled triangle specifically relate?

    <p>The ratio of the adjacent side to the hypotenuse.</p> Signup and view all the answers

    In the mnemonic 'Soh Cah Toa', what does 'Toa' represent?

    <p>Tangent equals opposite over adjacent.</p> Signup and view all the answers

    If the hypotenuse measures 13 units and the opposite side measures 5 units, what is the sine of the angle θ?

    <p>$ rac{5}{13}$</p> Signup and view all the answers

    What is the relationship described by the tangent ratio in a right-angled triangle?

    <p>It relates the lengths of the opposite side to the adjacent side.</p> Signup and view all the answers

    Which of the following correctly describes the sides of a right-angled triangle with respect to angle θ?

    <p>The hypotenuse is always the longest side in the triangle.</p> Signup and view all the answers

    What does the ratio $ rac{ ext{adjacent}}{ ext{hypotenuse}}$ specifically denote?

    <p>It represents the cosine of the angle.</p> Signup and view all the answers

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