Gr 11 Wiskunde Hfst 6: Verminderingsformule
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Questions and Answers

Wat is die waarde van sin(180° - θ) in terme van sin(θ)?

  • -sin(θ)
  • sin(θ) (correct)
  • cos(θ)
  • tan(θ)

Wanneer P(√3, 1) en P' op die sirkel met radius 2 geleë is, wat is die koördinate van P'?

  • (√3, 1)
  • (√3, -1)
  • (-√3, -1)
  • (-√3, 1) (correct)

Wanneer θ = 30°, wat is die waarde van cos(180° - θ)?

  • -1/2 (correct)
  • -√3/2
  • √3/2
  • 1/2

Wanneer θ = 30°, wat is die waarde van tan(180° + θ)?

<p>-tan(θ) (C)</p> Signup and view all the answers

Wanneer θ = 30°, wat is die waarde van sin(180° + θ)?

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

Waarom is die funksie sin(180° - θ) = sin(θ)?

<p>Omdat die punte P en P' simmetries is om die y-as (B)</p> Signup and view all the answers

Wanneer punte P en P' simmetries is om die oorsprong, wat is die koördinate van P'?

<p>(-x, -y) (B)</p> Signup and view all the answers

Waar is die sin(180° + θ) gelyk aan?

<p>-sin(θ) (C)</p> Signup and view all the answers

Waar is die cos(360° - θ) gelyk aan?

<p>cos(θ) (C)</p> Signup and view all the answers

Waar is die tan(180° + θ) gelyk aan?

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

Waar is die sin(90° + θ) gelyk aan?

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

Waar is die cos(90° + θ) gelyk aan?

<p>-sin(θ) (C)</p> Signup and view all the answers

Waar is die sin(360° + θ) gelyk aan?

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

Waar is die cos(360° + θ) gelyk aan?

<p>cos(θ) (C)</p> Signup and view all the answers

Waar is die sin(-θ) gelyk aan?

<p>-sin(θ) (B)</p> Signup and view all the answers

Waar is die cos(-θ) gelyk aan?

<p>cos(θ) (A)</p> Signup and view all the answers

Watter is die waarde van cos(180° + θ) in terme van cos(θ)?

<p>-cos(θ) (A)</p> Signup and view all the answers

Wanneer θ = 60°, wat is die waarde van sin(180° - θ)?

<p>1/2 (D)</p> Signup and view all the answers

Watter is die waarde van tan(180° - θ) in terme van tan(θ)?

<p>-tan(θ) (D)</p> Signup and view all the answers

Wanneer θ = 45°, wat is die waarde van cos(180° + θ)?

<p>-1/√2 (A)</p> Signup and view all the answers

Watter is die waarde van sin(360° - θ) in terme van sin(θ)?

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

Watter is die waarde van cos(180° - θ) wanneer θ = 0°?

<p>-1 (A)</p> Signup and view all the answers

Wanneer punt P(√3, 1) en punt P' simmetries is om die x-as, wat is die koördinate van P'?

<p>(√3, -1) (A)</p> Signup and view all the answers

Wanneer θ = 45°, wat is die waarde van sin(90° + θ)?

<p>-sin 45° (D)</p> Signup and view all the answers

Wanneer punt P(√3, 1) en punt P' simmetries is om die oorsprong, wat is die koördinate van P'?

<p>(-√3, -1) (B)</p> Signup and view all the answers

Waar is die funksie tan(180° + θ) gelyk aan in terme van θ?

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

Wanneer θ = 60°, wat is die waarde van cos(360° - θ)?

<p>cos 60° (C)</p> Signup and view all the answers

Waar is die funksie sin(360° - θ) gelyk aan in terme van θ?

<p>-sin θ (D)</p> Signup and view all the answers

Waar is die funksie cos(90° - θ) gelyk aan in terme van θ?

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

Wanneer θ = 30°, wat is die waarde van sin(90° - θ)?

<p>cos 30° (C)</p> Signup and view all the answers

Waar is die funksie tan(-θ) gelyk aan in terme van θ?

<p>-tan θ (A)</p> Signup and view all the answers

Wanneer punt P(√3, 1) en punt P' simmetries is om die lyn y = x, wat is die koördinate van P'?

<p>(1, √3) (B)</p> Signup and view all the answers

Wanneer θ = 45°, wat is die waarde van sin(180° + θ) in terme van sin(θ)?

<p>-sin(θ) (B)</p> Signup and view all the answers

Wanneer θ = 60°, wat is die waarde van cos(360° - θ) in terme van cos(θ)?

<p>cos(θ) (B)</p> Signup and view all the answers

Wanneer P en P' simmetries is om die y-as, wat is die waarde van tan(180° + θ) in terme van tan(θ)?

<p>-tan(θ) (C)</p> Signup and view all the answers

Wanneer θ = 30°, wat is die waarde van sin(360° - θ) in terme van sin(θ)?

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

Wanneer P en P' simmetries is om die oorsprong, wat is die waarde van cos(180° - θ) in terme van cos(θ)?

<p>-cos(θ) (B)</p> Signup and view all the answers

Wanneer θ = 45°, wat is die waarde van tan(90° + θ) in terme van tan(θ)?

<p>-tan(θ) (D)</p> Signup and view all the answers

Wanneer $ heta = 45^\circ$, wat is die waarde van $\sin(180^\circ + heta)$?

<p>-$\sin 45^\circ$ (B)</p> Signup and view all the answers

Wanneer $ heta = 60^\circ$, wat is die waarde van $\cos(360^\circ - heta)$?

<p>$\cos 60^\circ$ (A)</p> Signup and view all the answers

Wanneer $ heta = 30^\circ$, wat is die waarde van $ an(90^\circ - heta)$?

<p>$\cot 30^\circ$ (D)</p> Signup and view all the answers

Wanneer $ heta = 45^\circ$, wat is die waarde van $\cos(180^\circ - heta)$?

<p>-$\cos 45^\circ$ (B)</p> Signup and view all the answers

Wanneer $ heta = 60^\circ$, wat is die waarde van $\sin(360^\circ + heta)$?

<p>$\sin 60^\circ$ (D)</p> Signup and view all the answers

Wanneer $ heta = 30^\circ$, wat is die waarde van $ an(90^\circ + heta)$?

<p>-$ an 30^\circ$ (D)</p> Signup and view all the answers

Wanneer $ heta = 45^\circ$, wat is die waarde van $\sin(90^\circ + heta)$?

<p>$\cos 45^\circ$ (C)</p> Signup and view all the answers

Wanneer $ heta = 60^\circ$, wat is die waarde van $\cos(180^\circ + heta)$?

<p>-$\cos 60^\circ$ (C)</p> Signup and view all the answers

Wanneer $ heta = 30^\circ$, wat is die waarde van $ an(- heta)$?

<p>-$ an 30^\circ$ (D)</p> Signup and view all the answers

Wanneer $ heta = 45^\circ$, wat is die waarde van $\sin(- heta)$?

<p>-$\sin 45^\circ$ (B)</p> Signup and view all the answers

Wanneer θ = 45°, wat is die waarde van cos(90° + θ) in terme van cos(θ)?

<p>cos(θ) (C)</p> Signup and view all the answers

Die koördinate van P' is (-√3, 1) wanneer θ = 30°. Wat is die waarde van tan(180° + θ)?

<p>-tan(θ) (B)</p> Signup and view all the answers

Wanneer θ = 60°, wat is die waarde van sin(360° - θ) in terme van sin(θ)?

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

Die punt P(√3, 1) en die punt P' is simmetries om die y-as. Wat is die waarde van cos(180° - θ)?

<p>-cos(θ) (A)</p> Signup and view all the answers

Wanneer θ = 30°, wat is die waarde van tan(90° + θ) in terme van tan(θ)?

<p>-tan(θ) (B)</p> Signup and view all the answers

Wanneer θ = 45°, wat is die waarde van sin(180° + θ) in terme van sin(θ)?

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

Wanneer punt P(√3, 1) en punt P' simmetries is om die oorsprong, wat is die koördinate van P'?

<p>(-√3, -1) (D)</p> Signup and view all the answers

Wat is die waarde van sin(90° + θ) in terme van sin(θ) en cos(θ)?

<p>cos(θ) (A)</p> Signup and view all the answers

Wanneer θ = 60°, wat is die waarde van sin(360° - θ) in terme van sin(θ)?

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

Wanneer θ = 45°, wat is die waarde van cos(180° + θ) in terme van cos(θ)?

<p>-cos(θ) (A)</p> Signup and view all the answers

Wanneer θ = 30°, wat is die waarde van tan(90° - θ) in terme van tan(θ)?

<p>tan(θ) (B)</p> Signup and view all the answers

Wat is die waarde van sin(180° - θ) in terme van sin(θ)?

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

Wanneer θ = 60°, wat is die waarde van cos(360° + θ) in terme van cos(θ)?

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

Wanneer θ = 45°, wat is die waarde van tan(180° + θ) in terme van tan(θ)?

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

Wat is die waarde van cos(90° + θ) in terme van sin(θ) en cos(θ)?

<p>-sin(θ) (D)</p> Signup and view all the answers

Wanneer θ = 30°, wat is die waarde van sin(90° + θ) in terme van sin(θ) en cos(θ)?

<p>cos(θ) (C)</p> Signup and view all the answers

Wanneer θ = 45°, wat is die waarde van sin(180° - θ) in terme van sin(θ)?

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

Wanneer P en P' simmetries is om die y-as, wat is die waarde van cos(180° + θ) in terme van cos(θ)?

<p>-cos(θ) (C)</p> Signup and view all the answers

Wanneer θ = 60°, wat is die waarde van tan(180° - θ) in terme van tan(θ)?

<p>-tan(θ) (B)</p> Signup and view all the answers

Wanneer P en P' simmetries is om die x-as, wat is die koördinate van P' wanneer P(√3, 1) is?

<p>(-√3, 1) (B)</p> Signup and view all the answers

Wanneer θ = 30°, wat is die waarde van sin(360° - θ) in terme van sin(θ)?

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

Wanneer puntos P en P' simmetries is om die oorsprong, wat is die koördinate van P'?

<p>(-x, -y) (C)</p> Signup and view all the answers

Wat is die waarde van sin(360° - θ) in terme van sin(θ)?

<p>-sin(θ) (C)</p> Signup and view all the answers

Wat is die waarde van cos(90° + θ) in terme van sin(θ)?

<p>-sin(θ) (D)</p> Signup and view all the answers

Wat is die waarde van tan(180° + θ) in terme van tan(θ)?

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

Wanneer θ = 30°, wat is die waarde van sin(90° - θ)?

<p>cos(30°) (A)</p> Signup and view all the answers

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