sin ⁡ π 6 = \sin\frac{\pi}{6}= sin 6 π =

2 2 \frac{\sqrt{2}}{2} 2 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

3 2 \frac{\sqrt{3}}{2} 2 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

sin ⁡ ( α + β ) = \sin\left(\alpha+\beta\right)= sin ( α + β ) =

sin ⁡ α cos ⁡ β + cos ⁡ α sin ⁡ β \sin\alpha\ \cos\beta+\cos\alpha\ \sin\beta sin α cos β + cos α sin β

cos ⁡ α cos ⁡ β + sin ⁡ α sin ⁡ β \cos\alpha\ \cos\beta+\sin\alpha\ \sin\beta cos α cos β + sin α sin β

cos ⁡ α cos ⁡ β − sin ⁡ α sin ⁡ β \cos\alpha\ \cos\beta-\sin\alpha\ \sin\beta cos α cos β − sin α sin β

sin ⁡ α cos ⁡ β − cos ⁡ α sin ⁡ β \sin\alpha\ \cos\beta-\cos\alpha\ \sin\beta sin α cos β − cos α sin β

cos ⁡ π 4 = \cos\frac{\pi}{4}= cos 4 π =

2 2 \frac{\sqrt{2}}{2} 2 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

3 2 \frac{\sqrt{3}}{2} 2 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

sin ⁡ 5 π 6 = \sin\frac{5\pi}{6}= sin 6 5 π =

− 3 2 -\frac{\sqrt{3}}{2} − 2 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

3 2 \frac{\sqrt{3}}{2} 2 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

cos ⁡ ( α − β ) = \cos\left(\alpha-\beta\right)= cos ( α − β ) =

cos ⁡ α cos ⁡ β + sin ⁡ α sin ⁡ β \cos\alpha\ \cos\beta+\sin\alpha\ \sin\beta cos α cos β + sin α sin β

cos ⁡ α cos ⁡ β − sin ⁡ α sin ⁡ β \cos\alpha\ \cos\beta-\sin\alpha\ \sin\beta cos α cos β − sin α sin β

sin ⁡ α sin ⁡ β − cos ⁡ α cos ⁡ β \sin\alpha\ \sin\beta-\cos\alpha\ \cos\beta sin α sin β − cos α cos β

sin ⁡ α cos ⁡ β + cos ⁡ α sin ⁡ β \sin\alpha\ \cos\beta+\cos\alpha\ \sin\beta sin α cos β + cos α sin β

cos ⁡ 2 π 3 = \cos\frac{2\pi}{3}= cos 3 2 π =

− 3 2 -\frac{\sqrt{3}}{2} − 2 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

− 2 2 -\frac{\sqrt{2}}{2} − 2 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

cos ⁡ ( α + β ) = \cos\left(\alpha+\beta\right)= cos ( α + β ) =

cos ⁡ α cos ⁡ β − sin ⁡ α sin ⁡ β \cos\alpha\ \cos\beta-\sin\alpha\ \sin\beta cos α cos β − sin α sin β

cos ⁡ α cos ⁡ β + sin ⁡ α sin ⁡ β \cos\alpha\ \cos\beta+\sin\alpha\ \sin\beta cos α cos β + sin α sin β

sin ⁡ α cos ⁡ β + cos ⁡ α sin ⁡ β \sin\alpha\ \cos\beta+\cos\alpha\ \sin\beta sin α cos β + cos α sin β

sin ⁡ α cos ⁡ β − cos ⁡ α sin ⁡ β \sin\alpha\ \cos\beta-\cos\alpha\ \sin\beta sin α cos β − cos α sin β

sin ⁡ ( α − β ) = \sin\left(\alpha-\beta\right)= sin ( α − β ) =

sin ⁡ α cos ⁡ β − cos ⁡ α sin ⁡ β \sin\alpha\ \cos\beta-\cos\alpha\ \sin\beta sin α cos β − cos α sin β

cos ⁡ α cos ⁡ β + sin ⁡ α sin ⁡ β \cos\alpha\ \cos\beta+\sin\alpha\ \sin\beta cos α cos β + sin α sin β

cos ⁡ α sin ⁡ β − sin ⁡ α cos ⁡ β \cos\alpha\ \sin\beta-\sin\alpha\ \cos\beta cos α sin β − sin α cos β

sin ⁡ α cos ⁡ β + cos ⁡ α sin ⁡ β \sin\alpha\ \cos\beta+\cos\alpha\ \sin\beta sin α cos β + cos α sin β

cos ⁡ 5 π 6 = \cos\frac{5\pi}{6}= cos 6 5 π =

− 3 2 -\frac{\sqrt{3}}{2} − 2 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

3 2 \frac{\sqrt{3}}{2} 2 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

Delta Nova 5 4u Analyse H6 diverse (geen fcs)

Authored by Pedro Tytgat

Mathematics

11th Grade

Used 42+ times

Delta Nova 5 4u Analyse H6 diverse (geen fcs)

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16 questions

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MULTIPLE CHOICE QUESTION

15 mins • 1 pt

$\sin\frac{\pi}{6}=$

$\frac{1}{2}$

$\frac{\sqrt{2}}{2}$

$\frac{\sqrt{3}}{2}$

Answer explanation

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

$\sin\left(\alpha+\beta\right)=$

$\cos\alpha\ \cos\beta+\sin\alpha\ \sin\beta$

$\cos\alpha\ \cos\beta-\sin\alpha\ \sin\beta$

$\sin\alpha\ \cos\beta+\cos\alpha\ \sin\beta$

$\sin\alpha\ \cos\beta-\cos\alpha\ \sin\beta$

Answer explanation

$\sin\left(\alpha+\beta\right)=$
$\sin\alpha\ \cos\beta+\cos\alpha\ \sin\beta$

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

$\cos\frac{\pi}{4}=$

$\frac{1}{2}$

$\frac{\sqrt{2}}{2}$

$\frac{\sqrt{3}}{2}$

Answer explanation

MULTIPLE SELECT QUESTION

15 mins • 1 pt

$\sin\frac{\pi}{3}=\frac{1}{2}$ ? (Vink aan indien correct.)

$\cos\frac{7\pi}{6}=-\frac{\sqrt{3}}{2}$ ?

$\cos\frac{\pi}{2}=1$ ?

$\sin\frac{\pi}{4}=\frac{\sqrt{3}}{2}$ ?

Answer explanation

$\sin\frac{\pi}{3}=\frac{\sqrt{3}}{2}\ne\frac{1}{2}$

$\cos\frac{7\pi}{6}=-\frac{\sqrt{3}}{2}\ \ !$

$\cos\frac{\pi}{2}=0\ne1$

$\sin\frac{\pi}{4}=\frac{\sqrt{2}}{2}\ne\frac{\sqrt{3}}{2}$

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

$\sin\frac{5\pi}{6}=$

$\frac{1}{2}$

$-\frac{\sqrt{3}}{2}$

$\frac{\sqrt{3}}{2}$

$-\frac{1}{2}$

Answer explanation

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

$\cos\left(\alpha-\beta\right)=$

$\cos\alpha\ \cos\beta+\sin\alpha\ \sin\beta$

$\cos\alpha\ \cos\beta-\sin\alpha\ \sin\beta$

$\sin\alpha\ \sin\beta-\cos\alpha\ \cos\beta$

$\sin\alpha\ \cos\beta+\cos\alpha\ \sin\beta$

Answer explanation

$\cos\left(\alpha-\beta\right)=$
$\cos\alpha\ \cos\beta+\sin\alpha\ \sin\beta$

MULTIPLE SELECT QUESTION

15 mins • 1 pt

$\sin\frac{4\pi}{3}=-\frac{\sqrt{3}}{2}$ ? (Vink aan indien correct.)

$\cos\frac{5\pi}{6}=-\frac{\sqrt{3}}{2}$ ?

$\sin\frac{3\pi}{2}=1$ ?

$\sin\frac{3\pi}{4}=\frac{\sqrt{2}}{2}$ ?

Answer explanation

$\sin\frac{4\pi}{3}=\sin240°=-\frac{\sqrt{3}}{2}\ \ \ !$

$\cos\frac{5\pi}{6}=\cos150°=-\frac{\sqrt{3}}{2}\ \ !$

$\sin\frac{3\pi}{2}=\sin270°=-1\ne1$

$\sin\frac{3\pi}{4}=\sin135°=\frac{\sqrt{2}}{2}\ \ !$

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

$\cos\frac{2\pi}{3}=$

$0$

$-\frac{\sqrt{3}}{2}$

$-\frac{\sqrt{2}}{2}$

$-\frac{1}{2}$

Answer explanation

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

$\cos\left(\alpha+\beta\right)=$

$\cos\alpha\ \cos\beta+\sin\alpha\ \sin\beta$

$\cos\alpha\ \cos\beta-\sin\alpha\ \sin\beta$

$\sin\alpha\ \cos\beta+\cos\alpha\ \sin\beta$

$\sin\alpha\ \cos\beta-\cos\alpha\ \sin\beta$

Answer explanation

$\cos\left(\alpha+\beta\right)=$
$\cos\alpha\ \cos\beta-\sin\alpha\ \sin\beta$

10.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

$\cos^2\alpha-\sin^2\alpha=$

$\cos\left(2\alpha\right)$

$\sin\left(2\alpha\right)$

$-\cos\left(2\alpha\right)$

Answer explanation

$\cos\left(2\alpha\right)=\cos^2\alpha-\sin^2\alpha$

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Delta Nova 5 4u Analyse H6 diverse (geen fcs)

sin⁡π6=\sin\frac{\pi}{6}=sin6π​=

sin⁡(α+β)=\sin\left(\alpha+\beta\right)=sin(α+β)=

sin⁡(α+β)=\sin\left(\alpha+\beta\right)=sin(α+β)= sin⁡α cos⁡β+cos⁡α sin⁡β\sin\alpha\ \cos\beta+\cos\alpha\ \sin\betasinα cosβ+cosα sinβ

cos⁡π4=\cos\frac{\pi}{4}=cos4π​=

sin⁡5π6=\sin\frac{5\pi}{6}=sin65π​=

cos⁡(α−β)=\cos\left(\alpha-\beta\right)=cos(α−β)=

cos⁡(α−β)=\cos\left(\alpha-\beta\right)=cos(α−β)= cos⁡α cos⁡β+sin⁡α sin⁡β\cos\alpha\ \cos\beta+\sin\alpha\ \sin\betacosα cosβ+sinα sinβ

cos⁡2π3=\cos\frac{2\pi}{3}=cos32π​=

cos⁡(α+β)=\cos\left(\alpha+\beta\right)=cos(α+β)=

cos⁡(α+β)=\cos\left(\alpha+\beta\right)=cos(α+β)= cos⁡α cos⁡β−sin⁡α sin⁡β\cos\alpha\ \cos\beta-\sin\alpha\ \sin\betacosα cosβ−sinα sinβ

cos⁡2α−sin⁡2α=\cos^2\alpha-\sin^2\alpha=cos2α−sin2α=

cos⁡(2α)=cos⁡2α−sin⁡2α\cos\left(2\alpha\right)=\cos^2\alpha-\sin^2\alphacos(2α)=cos2α−sin2α

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$\sin\frac{\pi}{6}=$

$\sin\left(\alpha+\beta\right)=$

$\sin\left(\alpha+\beta\right)=$
$\sin\alpha\ \cos\beta+\cos\alpha\ \sin\beta$

$\cos\frac{\pi}{4}=$

$\sin\frac{5\pi}{6}=$

$\cos\left(\alpha-\beta\right)=$

$\cos\left(\alpha-\beta\right)=$
$\cos\alpha\ \cos\beta+\sin\alpha\ \sin\beta$

$\cos\frac{2\pi}{3}=$

$\cos\left(\alpha+\beta\right)=$

$\cos\left(\alpha+\beta\right)=$
$\cos\alpha\ \cos\beta-\sin\alpha\ \sin\beta$

$\cos^2\alpha-\sin^2\alpha=$

$\cos\left(2\alpha\right)=\cos^2\alpha-\sin^2\alpha$