Esprimi in gradi sessagesimali la seguente misura di angolo espressa in radianti 7 11 π \frac{7}{11}\pi 1 1 7 π . Approssima i secondi

114 ° 3 2 ′ 4 4 ′ ′ 114\degree\ 32'\ 44'' 1 1 4 ° 3 2 ′ 4 4 ′ ′

100 ° 2 5 ′ 3 5 ′ ′ 100\degree\ 25'\ 35'' 1 0 0 ° 2 5 ′ 3 5 ′ ′

140 ° 2 5 ′ 3 5 ′ ′ 140\degree\ 25'\ 35'' 1 4 0 ° 2 5 ′ 3 5 ′ ′

114 ° 2 5 ′ 3 5 ′ ′ 114\degree\ 25'\ 35'' 1 1 4 ° 2 5 ′ 3 5 ′ ′

Usando la calcolatrice calcola l'angolo α \alpha α sapendo che sin ⁡ ( α ) = 7 25 \sin\left(\alpha\right)=\frac{7}{25} sin ( α ) = 2 5 7 e π < α < 3 2 π \pi<\alpha<\frac{3}{2}\pi π < α < 2 3 π

16 , 26 ° 16,26° 1 6 , 2 6 °

26 , 26 ° 26,26° 2 6 , 2 6 °

206 , 26 ° 206,26\degree 2 0 6 , 2 6 °

Usando la calcolatrice calcola l'angolo α \alpha α sapendo che tan ⁡ ( α ) = 7 25 \tan\left(\alpha\right)=\frac{7}{25} tan ( α ) = 2 5 7 e π < α < 3 2 π \pi<\alpha<\frac{3}{2}\pi π < α < 2 3 π

195 ° 3 8 ′ 3 2 ′ ′ 195°\ 38'\ 32'' 1 9 5 ° 3 8 ′ 3 2 ′ ′

15 ° 3 8 ′ 2 4 ′ ′ 15\degree38'24'' 1 5 ° 3 8 ′ 2 4 ′ ′

15 ° 0 1 ′ 0 4 ′ ′ 15\degree\ 01'\ 04'' 1 5 ° 0 1 ′ 0 4 ′ ′

195 ° 0 1 ′ 0 4 ′ ′ 195°\ 01'\ 04'' 1 9 5 ° 0 1 ′ 0 4 ′ ′

Calcola la funzione tangente dell'angolo , sapendo che sin ⁡ ( α ) = 1 3 \sin\left(\alpha\right)=\frac{1}{3} sin ( α ) = 3 1 e π 2 < α < π \frac{\pi}{2\ }<\alpha<\pi 2 π < α < π

− 2 4 -\frac{\sqrt{2}}{4} − 4 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">

− 1 2 2 -\frac{1}{2\sqrt{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"> 1

− 2 2 3 -\frac{2\sqrt{2}}{3} − 3 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">

Semplifica l'espressione: 3 sin ⁡ α − cos ⁡ α 3 sin ⁡ α + 1 + 3 3 tan ⁡ α \frac{\sqrt{3}\sin\alpha-\cos\alpha}{\sqrt{3}\sin\alpha}+1+\frac{\sqrt{3}}{3\tan\alpha} 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 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 − cos α + 1 + 3 tan α 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 sin ⁡ α \sqrt{3}\ \sin\alpha 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

Goniometria - 3-12-2020 T1

Authored by Anna Boreatti

Mathematics

11th Grade

Used 16+ times

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8 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Esprimi in radianti la seguente misura di angolo espressa in forma sessagesimale:
$15^{\circ\ }12'\ 58''$

$0.16\$

$0.27$

$0.48$

$0.07$

non è possibile eseguire la trasformazione

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Esprimi in gradi sessagesimali la seguente misura di angolo espressa in radianti
$\frac{7}{11}\pi$ . Approssima i secondi

$100\degree\ 25'\ 35''$

$140\degree\ 25'\ 35''$

$114\degree\ 25'\ 35''$

$114\degree\ 32'\ 44''$

nessuna delle altre opzioni è corretta

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Usando la calcolatrice calcola l'angolo
$\alpha$ sapendo che $\sin\left(\alpha\right)=\frac{7}{25}$ e $\pi<\alpha<\frac{3}{2}\pi$

$16,26°$

$26,26°$

nessuna delle altre opzioni è corretta

$206,26\degree$

l'esercizio è impossibile

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Usando la calcolatrice calcola l'angolo
$\alpha$ sapendo che $\tan\left(\alpha\right)=\frac{7}{25}$ e $\pi<\alpha<\frac{3}{2}\pi$

$15\degree38'24''$

$15\degree\ 01'\ 04''$

$195°\ 01'\ 04''$

$195°\ 38'\ 32''$

nessuna delle altre opzioni è corretta

MULTIPLE SELECT QUESTION

5 mins • 1 pt

Un triangolo rettangolo ha un cateto che misura 8 cm e l'ipotenusa 10 cm. Uno dei due angoli acuti misura:

$53,748\degree$

$53\degree\ 7'\ 48''$

$53\degree$

$36,87°$

nessuna delle altre opzioni è corretta

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Calcola la funzione tangente dell'angolo , sapendo che $\sin\left(\alpha\right)=\frac{1}{3}$ e $\frac{\pi}{2\ }<\alpha<\pi$

non è possibile calcolare il valore della tangente

nessuna delle altre opzioni è corretta

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

$-\frac{\sqrt{2}}{4}$

$-\frac{1}{2\sqrt{2}}$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Semplifica l'espressione: $\frac{\sqrt{3}\sin\alpha-\cos\alpha}{\sqrt{3}\sin\alpha}+1+\frac{\sqrt{3}}{3\tan\alpha}$

$0$

$1$

$2$

$\sqrt{3}\ \sin\alpha$

nessuna delle precedenti

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Calcola la misura in gradi di un angolo al centro di una circonferenza il cui raggio è uguale a 5 cm e che sottende un arco lungo 23 cm. Arrotonda eventualmente i secondi.

nessuna delle alternative è corretta

$36\degree\ 55'\ 30''$

$62°\ 56'\ 03''$

$263\degree\ 33'\ 38''$

i dati sono insufficienti

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Goniometria - 3-12-2020 T1

Esprimi in radianti la seguente misura di angolo espressa in forma sessagesimale: 15∘ 12′ 58′′15^{\circ\ }12'\ 58''15∘ 12′ 58′′

Esprimi in gradi sessagesimali la seguente misura di angolo espressa in radianti 711π\frac{7}{11}\pi117​π . Approssima i secondi

Usando la calcolatrice calcola l'angolo α\alphaα sapendo che sin⁡(α)=725\sin\left(\alpha\right)=\frac{7}{25}sin(α)=257​ e π<α<32π\pi<\alpha<\frac{3}{2}\piπ<α<23​π

Usando la calcolatrice calcola l'angolo α\alphaα sapendo che tan⁡(α)=725\tan\left(\alpha\right)=\frac{7}{25}tan(α)=257​ e π<α<32π\pi<\alpha<\frac{3}{2}\piπ<α<23​π

Un triangolo rettangolo ha un cateto che misura 8 cm e l'ipotenusa 10 cm. Uno dei due angoli acuti misura:

Calcola la funzione tangente dell'angolo , sapendo che sin⁡(α)=13\sin\left(\alpha\right)=\frac{1}{3}sin(α)=31​ e π2 <α<π\frac{\pi}{2\ }<\alpha<\pi2 π​<α<π

Semplifica l'espressione: 3sin⁡α−cos⁡α3sin⁡α+1+33tan⁡α\frac{\sqrt{3}\sin\alpha-\cos\alpha}{\sqrt{3}\sin\alpha}+1+\frac{\sqrt{3}}{3\tan\alpha}3​sinα3​sinα−cosα​+1+3tanα3​​

Calcola la misura in gradi di un angolo al centro di una circonferenza il cui raggio è uguale a 5 cm e che sottende un arco lungo 23 cm. Arrotonda eventualmente i secondi.

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Discover more resources for Mathematics

Esprimi in radianti la seguente misura di angolo espressa in forma sessagesimale:
$15^{\circ\ }12'\ 58''$

Esprimi in gradi sessagesimali la seguente misura di angolo espressa in radianti
$\frac{7}{11}\pi$ . Approssima i secondi

Usando la calcolatrice calcola l'angolo
$\alpha$ sapendo che $\sin\left(\alpha\right)=\frac{7}{25}$ e $\pi<\alpha<\frac{3}{2}\pi$

Usando la calcolatrice calcola l'angolo
$\alpha$ sapendo che $\tan\left(\alpha\right)=\frac{7}{25}$ e $\pi<\alpha<\frac{3}{2}\pi$

Calcola la funzione tangente dell'angolo , sapendo che $\sin\left(\alpha\right)=\frac{1}{3}$ e $\frac{\pi}{2\ }<\alpha<\pi$

Semplifica l'espressione: $\frac{\sqrt{3}\sin\alpha-\cos\alpha}{\sqrt{3}\sin\alpha}+1+\frac{\sqrt{3}}{3\tan\alpha}$