Gr 10 Math Ch 4: Reciprocal Ratios
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Questions and Answers

What is the relationship between sine and cosecant?

  • cosec $\theta$ = 1 - sin $\theta$
  • cosec $\theta$ = sin $\theta$ $\times$ 1
  • sin $\theta$ $\times$ cosec $\theta$ = 1 (correct)
  • sin $\theta$ = cosec $\theta$

    • In a right-angled triangle, how is cosecant defined?

  • cosec $\theta$ = $\frac{\text{hypotenuse}}{\text{opposite}}$ (correct)
  • cosec $\theta$ = $\frac{\text{adjacent}}{\text{hypotenuse}}$
  • cosec $\theta$ = $\frac{\text{adjacent}}{\text{opposite}}$
  • cosec $\theta$ = $\frac{\text{opposite}}{\text{hypotenuse}}$

    • Which of the following correctly represents the secant function?

  • sec $\theta$ = $\frac{\text{adjacent}}{\text{hypotenuse}}$
  • sec $\theta$ = $\frac{1}{\cos \theta}$ (correct)
  • sec $\theta$ = $\frac{1}{\sin \theta}$
  • sec $\theta$ = $\frac{\text{opposite}}{\text{hypotenuse}}$

    • What is the reciprocal of the tangent ratio?

    <p>cot $\theta$</p> Signup and view all the answers

    Which equation correctly reflects the relationship between cosine and secant?

    <p>cos $\theta$ $\times$ sec $\theta$ = 1</p> Signup and view all the answers

    What is the cosecant of an angle in terms of sine?

    <p>$ rac{1}{ ext{sin } heta}$</p> Signup and view all the answers

    Which of the following relationships is true regarding cotangent?

    <p>$ an heta imes ext{cot } heta = 1$</p> Signup and view all the answers

    How is secant defined in terms of cosine?

    <p>$ rac{1}{ ext{cos } heta}$</p> Signup and view all the answers

    What is the correct reciprocal relationship for cosecant?

    <p>$ ext{cosec } heta imes ext{sin } heta = 1$</p> Signup and view all the answers

    In a right-angled triangle, how is cotangent defined?

    <p>$ rac{ ext{adjacent}}{ ext{opposite}}$</p> Signup and view all the answers

    If the sine of an angle is given as $ rac{3}{5}$, what is the value of its cosecant?

    <p>$ rac{5}{3}$</p> Signup and view all the answers

    Which of the following correctly describes the relationship involving the secant function?

    <p>$ rac{1}{ ext{sec } heta} = ext{cos } heta$</p> Signup and view all the answers

    In terms of a right-angled triangle, which statement about cotangent is false?

    <p>Cotangent can be expressed as $ rac{ ext{opposite}}{ ext{adjacent}}$.</p> Signup and view all the answers

    What is the relationship that holds true for tangent and cotangent?

    <p>$ an heta imes ext{cot } heta = 1$</p> Signup and view all the answers

    Which statement correctly represents the cosecant function?

    <p>$ ext{cosec } heta = rac{ ext{hypotenuse}}{ ext{opposite}}$</p> Signup and view all the answers

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