cot ⁡ ( 2 π 3 ) \cot\left(\frac{2\pi}{3}\right) cot ( 3 2 π )

− 3 3 -\frac{\sqrt{3}}{3} − 3 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">

3 3 \frac{\sqrt{3}}{3} 3 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">

csc ⁡ ( 135 ° ) \csc\left(135\degree\right) csc ( 1 3 5 ° )

2 \sqrt{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 \sqrt{3} 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">

csc ⁡ ( 480 ° ) \csc\left(480\degree\right) csc ( 4 8 0 ° )

2 3 3 \frac{2\sqrt{3}}{3} 3 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 3 5 \frac{2\sqrt{3}}{5} 5 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 5 9 \frac{2\sqrt{5}}{9} 9 2 5 <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 5 7 \frac{2\sqrt{5}}{7} 7 2 5 <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">

tan ⁡ − 1 ( − 9.11 ) \tan^{-1}\left(-9.11\right) tan − 1 ( − 9 . 1 1 )

− 83 ° 4 4 ′ 8.71 " -83\degree\ 44'\ 8.71" − 8 3 ° 4 4 ′ 8 . 7 1 "

− 97 ° 3 3 ′ 39.72 " -97\degree\ 33'\ 39.72" − 9 7 ° 3 3 ′ 3 9 . 7 2 "

− 67 ° 2 5 ′ 0.66 " -67\degree\ 25'\ 0.66" − 6 7 ° 2 5 ′ 0 . 6 6 "

− 77 ° 3 3 ′ 39.71 " -77\degree\ 33'\ 39.71" − 7 7 ° 3 3 ′ 3 9 . 7 1 "

cos ⁡ − 1 ( 0.5151 ) \cos^{-1}\left(0.5151\right) cos − 1 ( 0 . 5 1 5 1 )

58 ° 5 9 ′ 45.1 " 58\degree\ 59'\ 45.1" 5 8 ° 5 9 ′ 4 5 . 1 "

13 ° 4 9 ′ 18.1 " 13\degree\ 49'\ 18.1" 1 3 ° 4 9 ′ 1 8 . 1 "

63 ° 9 1 ′ 22.7 " 63\degree\ 91'\ 22.7" 6 3 ° 9 1 ′ 2 2 . 7 "

27 ° 2 2 ′ 14.9 " 27\degree\ 22'\ 14.9" 2 7 ° 2 2 ′ 1 4 . 9 "

TRIGONOMETRIC FUNCTIONS AND THEIR INVERSES

Authored by Lorraine Valencerina

Mathematics

11th Grade

Used 8+ times

TRIGONOMETRIC FUNCTIONS AND THEIR INVERSES

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10 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\sin^{-1}\left(\frac{\sqrt{2}}{2}\right)$

$30\degree$

$55\degree$

$45\degree$

$85\degree$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\cos^{-1}\left(\frac{1}{2}\right)$

$30\degree$

$60\degree$

$90\degree$

$120\degree$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\cot\left(\frac{2\pi}{3}\right)$

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

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

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

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

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\csc\left(135\degree\right)$

$3.1579$

$5.9823$

$\sqrt{2}$

$\sqrt{3}$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\sin^{-1}\left(-1\right)$

$0$

$90$

$180$

$-90$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\sec\left(180\degree\right)$

$0$

$-1$

$1$

$2$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\csc\left(480\degree\right)$

$\frac{2\sqrt{3}}{5}$

$\frac{2\sqrt{5}}{9}$

$\frac{2\sqrt{5}}{7}$

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

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\tan^{-1}\left(-9.11\right)$

$-83\degree\ 44'\ 8.71"$

$-97\degree\ 33'\ 39.72"$

$-67\degree\ 25'\ 0.66"$

$-77\degree\ 33'\ 39.71"$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\cos^{-1}\left(0.5151\right)$

$13\degree\ 49'\ 18.1"$

$63\degree\ 91'\ 22.7"$

$58\degree\ 59'\ 45.1"$

$27\degree\ 22'\ 14.9"$

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\csc\left(-\frac{25\pi}{6}\right)$

$1$

$-1$

$2$

$-2$

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TRIGONOMETRIC FUNCTIONS AND THEIR INVERSES

sin⁡−1(22)\sin^{-1}\left(\frac{\sqrt{2}}{2}\right)sin−1(22​​)

cos⁡−1(12)\cos^{-1}\left(\frac{1}{2}\right)cos−1(21​)

cot⁡(2π3)\cot\left(\frac{2\pi}{3}\right)cot(32π​)

csc⁡(135°)\csc\left(135\degree\right)csc(135°)

sin⁡−1(−1)\sin^{-1}\left(-1\right)sin−1(−1)

sec⁡(180°)\sec\left(180\degree\right)sec(180°)

csc⁡(480°)\csc\left(480\degree\right)csc(480°)

tan⁡−1(−9.11)\tan^{-1}\left(-9.11\right)tan−1(−9.11)

cos⁡−1(0.5151)\cos^{-1}\left(0.5151\right)cos−1(0.5151)

csc⁡(−25π6)\csc\left(-\frac{25\pi}{6}\right)csc(−625π​)

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$\sin^{-1}\left(\frac{\sqrt{2}}{2}\right)$

$\cos^{-1}\left(\frac{1}{2}\right)$

$\cot\left(\frac{2\pi}{3}\right)$

$\csc\left(135\degree\right)$

$\sin^{-1}\left(-1\right)$

$\sec\left(180\degree\right)$

$\csc\left(480\degree\right)$

$\tan^{-1}\left(-9.11\right)$

$\cos^{-1}\left(0.5151\right)$

$\csc\left(-\frac{25\pi}{6}\right)$