Solve the trigonometric equation below, exact answers only, for 0 ≤ x < 2 π 0\le x<2\pi 0 ≤ x < 2 π (This means RADIANS): − 1 = cot ⁡ x -1=\cot x − 1 = cot x

x = 3 π 4 , 7 π 4 x=\frac{3\pi}{4},\frac{7\pi}{4} x = 4 3 π , 4 7 π

x = 3 π 4 , 7 π 6 x=\frac{3\pi}{4},\frac{7\pi}{6} x = 4 3 π , 6 7 π

x = π 6 , 3 π 4 , 7 π 4 x=\frac{\pi}{6},\frac{3\pi}{4},\frac{7\pi}{4} x = 6 π , 4 3 π , 4 7 π

x = π 6 , 7 π 6 x=\frac{\pi}{6},\frac{7\pi}{6} x = 6 π , 6 7 π

Solve the trigonometric equation below, exact answers only, for 0 ≤ x < 2 π 0\le x<2\pi 0 ≤ x < 2 π (This means RADIANS): tan ⁡ x = − 3 3 \tan x=-\frac{\sqrt{3}}{3} tan x = − 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">

x = 5 π 6 , 11 π 6 x=\frac{5\pi}{6},\frac{11\pi}{6} x = 6 5 π , 6 1 1 π

x = π 3 x=\frac{\pi}{3} x = 3 π

x = 5 π 6 , 4 π 3 , 11 π 6 x=\frac{5\pi}{6},\frac{4\pi}{3},\frac{11\pi}{6} x = 6 5 π , 3 4 π , 6 1 1 π

x = π 3 , 5 π 6 , 4 π 3 , 11 π 6 x=\frac{\pi}{3},\frac{5\pi}{6},\frac{4\pi}{3},\frac{11\pi}{6} x = 3 π , 6 5 π , 3 4 π , 6 1 1 π

Solve the trigonometric equation below, exact answers only, for 0 ≤ x < 2 π 0\le x<2\pi 0 ≤ x < 2 π (This means RADIANS): csc ⁡ x = − 2 \csc x=-\sqrt{2} csc x = − 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">

x = 5 π 4 , 7 π 4 x=\frac{5\pi}{4},\frac{7\pi}{4} x = 4 5 π , 4 7 π

x = π 6 , 5 π 4 , 7 π 6 x=\frac{\pi}{6},\frac{5\pi}{4},\frac{7\pi}{6} x = 6 π , 4 5 π , 6 7 π

x = 5 π 6 , 7 π 4 x=\frac{5\pi}{6},\frac{7\pi}{4} x = 6 5 π , 4 7 π

N o S o l u t i o n No\ Solution N o S o l u t i o n

Solve the trigonometric equation below, exact answers only, for 0 ≤ x < 2 π 0\le x<2\pi 0 ≤ x < 2 π (This means RADIANS): tan ⁡ x = − 3 \tan x=-\sqrt{3} tan x = − 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">

x = 2 π 3 , 5 π 3 x=\frac{2\pi}{3},\frac{5\pi}{3} x = 3 2 π , 3 5 π

x = 5 π 3 , 11 π 6 x=\frac{5\pi}{3},\frac{11\pi}{6} x = 3 5 π , 6 1 1 π

x = 11 π 6 x=\frac{11\pi}{6} x = 6 1 1 π

x = 5 π 6 , 11 π 6 x=\frac{5\pi}{6},\frac{11\pi}{6} x = 6 5 π , 6 1 1 π

Solve the trigonometric equation below, exact answers only, for 0 ≤ x < 2 π 0\le x<2\pi 0 ≤ x < 2 π (This means RADIANS): cos ⁡ x = 1 2 \cos x=\frac{1}{2} cos x = 2 1

x = π 3 , 5 π 3 x=\frac{\pi}{3},\frac{5\pi}{3} x = 3 π , 3 5 π

x = π 3 , 5 π 6 , 5 π 3 x=\frac{\pi}{3},\frac{5\pi}{6},\frac{5\pi}{3} x = 3 π , 6 5 π , 3 5 π

x = π 3 , 7 π 6 x=\frac{\pi}{3},\frac{7\pi}{6} x = 3 π , 6 7 π

N o S o l u t i o n No\ Solution N o S o l u t i o n

Solve the trigonometric equation below, exact answers only, for 0 ≤ x < 2 π 0\le x<2\pi 0 ≤ x < 2 π (This means RADIANS): sin ⁡ x = 2 2 \sin x=\frac{\sqrt{2}}{2} sin x = 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">

x = π 4 , 3 π 4 x=\frac{\pi}{4},\frac{3\pi}{4} x = 4 π , 4 3 π

x = 11 π 6 x=\frac{11\pi}{6} x = 6 1 1 π

x = 3 π 4 x=\frac{3\pi}{4} x = 4 3 π

x = π 4 , 7 π 6 , 11 π 6 x=\frac{\pi}{4},\frac{7\pi}{6},\frac{11\pi}{6} x = 4 π , 6 7 π , 6 1 1 π

Solve the trigonometric equation below, exact answers only, for 0 ≤ x < 2 π 0\le x<2\pi 0 ≤ x < 2 π (This means RADIANS): cos ⁡ x = − 1 2 \cos x=-\frac{1}{2} cos x = − 2 1

x = 2 π 3 , 4 π 3 x=\frac{2\pi}{3},\frac{4\pi}{3} x = 3 2 π , 3 4 π

x = 4 π 3 x=\frac{4\pi}{3} x = 3 4 π

x = 5 π 4 , 4 π 3 x=\frac{5\pi}{4},\frac{4\pi}{3} x = 4 5 π , 3 4 π

x = 3 π 4 x=\frac{3\pi}{4} x = 4 3 π

Solve the trigonometric equation below, exact answers only, for 0 ≤ x < 2 π 0\le x<2\pi 0 ≤ x < 2 π (This means RADIANS): sec ⁡ x = − 2 3 \sec x=-\frac{2}{\sqrt{3}} sec x = − 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

x = 5 π 6 , 7 π 6 x=\frac{5\pi}{6},\frac{7\pi}{6} x = 6 5 π , 6 7 π

x = π 4 , 4 π 3 , 5 π 3 x=\frac{\pi}{4},\frac{4\pi}{3},\frac{5\pi}{3} x = 4 π , 3 4 π , 3 5 π

x = π 4 , 3 π 4 , 4 π 3 , 5 π 3 x=\frac{\pi}{4},\frac{3\pi}{4},\frac{4\pi}{3},\frac{5\pi}{3} x = 4 π , 4 3 π , 3 4 π , 3 5 π

x = 5 π 6 x=\frac{5\pi}{6} x = 6 5 π

Solve the trigonometric equation below, exact answers only, for 0 ≤ x < 2 π 0\le x<2\pi 0 ≤ x < 2 π (This means RADIANS): csc ⁡ x = − 1 \csc x=-1 csc x = − 1

x = 3 π 2 x=\frac{3\pi}{2} x = 2 3 π

x = 3 π 4 x=\frac{3\pi}{4} x = 4 3 π

N o S o l u t i o n No\ Solution N o S o l u t i o n

x = 3 π 4 , 3 π 2 x=\frac{3\pi}{4},\frac{3\pi}{2} x = 4 3 π , 2 3 π

Solve the trigonometric equation below, exact answers only, for 0 ≤ x < 2 π 0\le x<2\pi 0 ≤ x < 2 π (This means RADIANS): − 3 2 = sin ⁡ x -\frac{\sqrt{3}}{2}=\sin x − 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 x

x = 4 π 3 , 5 π 3 x=\frac{4\pi}{3},\frac{5\pi}{3} x = 3 4 π , 3 5 π

x = 4 π 3 x=\frac{4\pi}{3} x = 3 4 π

x = 7 π 6 , 4 π 3 , 5 π 3 x=\frac{7\pi}{6},\frac{4\pi}{3},\frac{5\pi}{3} x = 6 7 π , 3 4 π , 3 5 π

x = 7 π 6 , 11 π 6 x=\frac{7\pi}{6},\frac{11\pi}{6} x = 6 7 π , 6 1 1 π

Solve the trigonometric equation below, exact answers only, for 0 ≤ x < 2 π 0\le x<2\pi 0 ≤ x < 2 π (This means RADIANS): 3 3 = tan ⁡ x \frac{\sqrt{3}}{3}=\tan x 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"> = tan x

x = π 6 , 7 π 6 x=\frac{\pi}{6},\frac{7\pi}{6} x = 6 π , 6 7 π

x = π 6 , 5 π 6 , 11 π 6 x=\frac{\pi}{6},\frac{5\pi}{6},\frac{11\pi}{6} x = 6 π , 6 5 π , 6 1 1 π

x = π 6 , 5 π 6 , 7 π 6 , 11 π 6 x=\frac{\pi}{6},\frac{5\pi}{6},\frac{7\pi}{6},\frac{11\pi}{6} x = 6 π , 6 5 π , 6 7 π , 6 1 1 π

N o S o l u t i o n No\ Solution N o S o l u t i o n

Solve the trigonometric equation below, exact answers only, for 0 ≤ x < 2 π 0\le x<2\pi 0 ≤ x < 2 π (This means RADIANS): 2 = sec ⁡ x \sqrt{2}=\sec x 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"> = sec x

x = π 4 , 7 π 4 x=\frac{\pi}{4},\frac{7\pi}{4} x = 4 π , 4 7 π

x = π 3 , 5 π 3 , 7 π 4 x=\frac{\pi}{3},\frac{5\pi}{3},\frac{7\pi}{4} x = 3 π , 3 5 π , 4 7 π

x = 5 π 3 , 7 π 4 x=\frac{5\pi}{3},\frac{7\pi}{4} x = 3 5 π , 4 7 π

x = π 4 , π 3 x=\frac{\pi}{4},\frac{\pi}{3} x = 4 π , 3 π

Solve the trigonometric equation below, exact answers only, for 0 ≤ θ < 2 π 0\le\theta<2\pi 0 ≤ θ < 2 π (This means RADIANS): csc ⁡ θ − 4 = − 4 − 2 3 \csc\theta-4=-4-\frac{2}{\sqrt{3}} csc θ − 4 = − 4 − 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

θ = 4 π 3 , 5 π 3 \theta=\frac{4\pi}{3},\frac{5\pi}{3} θ = 3 4 π , 3 5 π

θ = π 3 , 2 π 3 , 4 π 3 \theta=\frac{\pi}{3},\frac{2\pi}{3},\frac{4\pi}{3} θ = 3 π , 3 2 π , 3 4 π

θ = 2 π 3 , 5 π 3 \theta=\frac{2\pi}{3},\frac{5\pi}{3} θ = 3 2 π , 3 5 π

N o S o l u t i o n No\ Solution N o S o l u t i o n

Solve the trigonometric equation below, exact answers only, for 0 ≤ θ < 2 π 0\le\theta<2\pi 0 ≤ θ < 2 π (This means RADIANS): 4 + cot ⁡ θ = 3 4+\cot\theta=3 4 + cot θ = 3

θ = 3 π 4 , 7 π 4 \theta=\frac{3\pi}{4},\frac{7\pi}{4} θ = 4 3 π , 4 7 π

θ = 2 π 3 , 3 π 4 , 7 π 4 \theta=\frac{2\pi}{3},\frac{3\pi}{4},\frac{7\pi}{4} θ = 3 2 π , 4 3 π , 4 7 π

θ = 2 π 3 , 7 π 4 \theta=\frac{2\pi}{3},\frac{7\pi}{4} θ = 3 2 π , 4 7 π

θ = 3 π 4 \theta=\frac{3\pi}{4} θ = 4 3 π

Solve the trigonometric equation below, exact answers only, for 0 ≤ θ < 2 π 0\le\theta<2\pi 0 ≤ θ < 2 π (This means RADIANS): 2 + cos ⁡ θ = 3 2 + 2 2+\cos\theta=\frac{\sqrt{3}}{2}+2 2 + cos θ = 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

θ = π 6 , 11 π 6 \theta=\frac{\pi}{6},\frac{11\pi}{6} θ = 6 π , 6 1 1 π

θ = π 2 , 3 π 2 , 11 π 6 \theta=\frac{\pi}{2},\frac{3\pi}{2},\frac{11\pi}{6} θ = 2 π , 2 3 π , 6 1 1 π

θ = π 6 \theta=\frac{\pi}{6} θ = 6 π

N o S o l u t i o n No\ Solution N o S o l u t i o n

Solving Trigonometric Equations - Exact Value

Authored by Adam Hosler

Mathematics

10th - 12th Grade

CCSS covered

Used 129+ times

Solving Trigonometric Equations - Exact Value

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15 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve the trigonometric equation below, exact answers only, for
$0\le x<2\pi$ (This means RADIANS):

$-1=\cot x$

$x=\frac{3\pi}{4},\frac{7\pi}{6}$

$x=\frac{\pi}{6},\frac{3\pi}{4},\frac{7\pi}{4}$

$x=\frac{\pi}{6},\frac{7\pi}{6}$

$x=\frac{3\pi}{4},\frac{7\pi}{4}$

Tags

CCSS.HSF.TF.B.7

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve the trigonometric equation below, exact answers only, for
$0\le x<2\pi$ (This means RADIANS):

$\tan x=-\frac{\sqrt{3}}{3}$

$x=\frac{\pi}{3}$

$x=\frac{5\pi}{6},\frac{4\pi}{3},\frac{11\pi}{6}$

$x=\frac{5\pi}{6},\frac{11\pi}{6}$

$x=\frac{\pi}{3},\frac{5\pi}{6},\frac{4\pi}{3},\frac{11\pi}{6}$

Tags

CCSS.HSF.TF.B.7

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve the trigonometric equation below, exact answers only, for
$0\le x<2\pi$ (This means RADIANS):

$\csc x=-\sqrt{2}$

$x=\frac{\pi}{6},\frac{5\pi}{4},\frac{7\pi}{6}$

$x=\frac{5\pi}{6},\frac{7\pi}{4}$

$No\ Solution$

$x=\frac{5\pi}{4},\frac{7\pi}{4}$

Tags

CCSS.HSF.TF.B.7

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve the trigonometric equation below, exact answers only, for
$0\le x<2\pi$ (This means RADIANS):

$\tan x=-\sqrt{3}$

$x=\frac{5\pi}{3},\frac{11\pi}{6}$

$x=\frac{11\pi}{6}$

$x=\frac{5\pi}{6},\frac{11\pi}{6}$

$x=\frac{2\pi}{3},\frac{5\pi}{3}$

Tags

CCSS.HSF.TF.B.7

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve the trigonometric equation below, exact answers only, for
$0\le x<2\pi$ (This means RADIANS):

$\cos x=\frac{1}{2}$

$x=\frac{\pi}{3},\frac{5\pi}{6},\frac{5\pi}{3}$

$x=\frac{\pi}{3},\frac{5\pi}{3}$

$x=\frac{\pi}{3},\frac{7\pi}{6}$

$No\ Solution$

Tags

CCSS.HSF.TF.B.7

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve the trigonometric equation below, exact answers only, for
$0\le x<2\pi$ (This means RADIANS):

$\sin x=\frac{\sqrt{2}}{2}$

$x=\frac{\pi}{4},\frac{3\pi}{4}$

$x=\frac{11\pi}{6}$

$x=\frac{3\pi}{4}$

$x=\frac{\pi}{4},\frac{7\pi}{6},\frac{11\pi}{6}$

Tags

CCSS.HSF.TF.B.7

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve the trigonometric equation below, exact answers only, for
$0\le x<2\pi$ (This means RADIANS):

$\cos x=-\frac{1}{2}$

$x=\frac{4\pi}{3}$

$x=\frac{5\pi}{4},\frac{4\pi}{3}$

$x=\frac{3\pi}{4}$

$x=\frac{2\pi}{3},\frac{4\pi}{3}$

Tags

CCSS.HSF.TF.B.7

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve the trigonometric equation below, exact answers only, for
$0\le x<2\pi$ (This means RADIANS):

$\sec x=-\frac{2}{\sqrt{3}}$

$x=\frac{\pi}{4},\frac{4\pi}{3},\frac{5\pi}{3}$

$x=\frac{\pi}{4},\frac{3\pi}{4},\frac{4\pi}{3},\frac{5\pi}{3}$

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

$x=\frac{5\pi}{6},\frac{7\pi}{6}$

Tags

CCSS.HSF.TF.B.7

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve the trigonometric equation below, exact answers only, for
$0\le x<2\pi$ (This means RADIANS):

$\csc x=-1$

$x=\frac{3\pi}{4}$

$No\ Solution$

$x=\frac{3\pi}{4},\frac{3\pi}{2}$

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

Tags

CCSS.HSF.TF.B.7

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve the trigonometric equation below, exact answers only, for
$0\le x<2\pi$ (This means RADIANS):

$-\frac{\sqrt{3}}{2}=\sin x$

$x=\frac{4\pi}{3}$

$x=\frac{4\pi}{3},\frac{5\pi}{3}$

$x=\frac{7\pi}{6},\frac{4\pi}{3},\frac{5\pi}{3}$

$x=\frac{7\pi}{6},\frac{11\pi}{6}$

Tags

CCSS.HSF.TF.B.7

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Solving Trigonometric Equations - Exact Value

Solve the trigonometric equation below, exact answers only, for 0≤x<2π0\le x<2\pi0≤x<2π (This means RADIANS): −1=cot⁡x-1=\cot x−1=cotx

Solve the trigonometric equation below, exact answers only, for 0≤x<2π0\le x<2\pi0≤x<2π (This means RADIANS): tan⁡x=−33\tan x=-\frac{\sqrt{3}}{3}tanx=−33​​

Solve the trigonometric equation below, exact answers only, for 0≤x<2π0\le x<2\pi0≤x<2π (This means RADIANS): csc⁡x=−2\csc x=-\sqrt{2}cscx=−2​

Solve the trigonometric equation below, exact answers only, for 0≤x<2π0\le x<2\pi0≤x<2π (This means RADIANS): tan⁡x=−3\tan x=-\sqrt{3}tanx=−3​

Solve the trigonometric equation below, exact answers only, for 0≤x<2π0\le x<2\pi0≤x<2π (This means RADIANS): cos⁡x=12\cos x=\frac{1}{2}cosx=21​

Solve the trigonometric equation below, exact answers only, for 0≤x<2π0\le x<2\pi0≤x<2π (This means RADIANS): sin⁡x=22\sin x=\frac{\sqrt{2}}{2}sinx=22​​

Solve the trigonometric equation below, exact answers only, for 0≤x<2π0\le x<2\pi0≤x<2π (This means RADIANS): cos⁡x=−12\cos x=-\frac{1}{2}cosx=−21​

Solve the trigonometric equation below, exact answers only, for 0≤x<2π0\le x<2\pi0≤x<2π (This means RADIANS): sec⁡x=−23\sec x=-\frac{2}{\sqrt{3}}secx=−3​2​

Solve the trigonometric equation below, exact answers only, for 0≤x<2π0\le x<2\pi0≤x<2π (This means RADIANS): csc⁡x=−1\csc x=-1cscx=−1

Solve the trigonometric equation below, exact answers only, for 0≤x<2π0\le x<2\pi0≤x<2π (This means RADIANS): −32=sin⁡x-\frac{\sqrt{3}}{2}=\sin x−23​​=sinx

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Discover more resources for Mathematics

Solve the trigonometric equation below, exact answers only, for
$0\le x<2\pi$ (This means RADIANS):

$-1=\cot x$

Solve the trigonometric equation below, exact answers only, for
$0\le x<2\pi$ (This means RADIANS):

$\tan x=-\frac{\sqrt{3}}{3}$

Solve the trigonometric equation below, exact answers only, for
$0\le x<2\pi$ (This means RADIANS):

$\csc x=-\sqrt{2}$

Solve the trigonometric equation below, exact answers only, for
$0\le x<2\pi$ (This means RADIANS):

$\tan x=-\sqrt{3}$

Solve the trigonometric equation below, exact answers only, for
$0\le x<2\pi$ (This means RADIANS):

$\cos x=\frac{1}{2}$

Solve the trigonometric equation below, exact answers only, for
$0\le x<2\pi$ (This means RADIANS):

$\sin x=\frac{\sqrt{2}}{2}$

Solve the trigonometric equation below, exact answers only, for
$0\le x<2\pi$ (This means RADIANS):

$\cos x=-\frac{1}{2}$

Solve the trigonometric equation below, exact answers only, for
$0\le x<2\pi$ (This means RADIANS):

$\sec x=-\frac{2}{\sqrt{3}}$

Solve the trigonometric equation below, exact answers only, for
$0\le x<2\pi$ (This means RADIANS):

$\csc x=-1$

Solve the trigonometric equation below, exact answers only, for
$0\le x<2\pi$ (This means RADIANS):

$-\frac{\sqrt{3}}{2}=\sin x$