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Solving Trig Equations - Unit 4

Total questions: 10

Worksheet time: 30mins

Name
Class
Date
1.

Solve for all values of x over the interval [0,2π]

a)

 7π6and 11π6\frac{7\pi}{6}and\ \frac{11\pi}{6}  

b)

 π6and 4π6\frac{\pi}{6}and\ \frac{4\pi}{6}  

c)

 2π3and 5π3\frac{2\pi}{3}and\ \frac{5\pi}{3}  

d)

 π4and 5π4\frac{\pi}{4}and\ \frac{5\pi}{4}  

2.

Solve for all values of x over the interval [0,2π]

a)

3π4and 5π4 \frac{3π}{4}and\ \frac{5π}{4}\

b)

π4and 3π4\frac{π}{4}and\ \frac{3π}{4}

c)

π4,3π4,5π4 and 7π4\frac{π}{4},\frac{3π}{4},\frac{5π}{4}\ and\ \frac{7π}{4}

d)

π6 and 5π6\frac{\pi}{6}\ and\ \frac{5\pi}{6}

3.

Solve for all values of x over the interval [0,2π]

a)

π6 and 7π6\frac{\pi}{6}\ and\ \frac{7\pi}{6}

b)

5π6 and 11π6\frac{5\pi}{6}\ and\ \frac{11\pi}{6}

c)

π3 and 5π3\frac{\pi}{3}\ and\ \frac{5\pi}{3}

d)

2π3 and 4π3\frac{2\pi}{3}\ and\ \frac{4\pi}{3}

4.

Solve for all values of x over the interval [0,2π]

a)

π6 and 5π6\frac{\pi}{6}\ and\ \frac{5\pi}{6}

b)

DNE

c)

π3 and 2π3\frac{\pi}{3}\ and\ \frac{2\pi}{3}

d)

3π2\frac{3\pi}{2}

5.

Solve for all values of x over the interval [0,2π]

a)

π2\frac{\pi}{2}

b)

π2 and π\frac{\pi}{2}\ and\ \pi

c)

DNE

d)

π\pi

6.

Solve for all values of x over the interval [0,2π]

a)

π6\frac{\pi}{6}

b)

5π6 and 7π6\frac{5\pi}{6}\ and\ \frac{7\pi}{6}

c)

π6 and 11π6\frac{\pi}{6}\ and\ \frac{11\pi}{6}

d)

π6 ,5π6 , 7π6and 11π6\frac{\pi}{6}\ ,\frac{5\pi}{6}\ ,\ \frac{7\pi}{6}and\ \ \frac{11\pi}{6}

7.

Solve for all values of x over the interval [0,2π)

a)

π2\frac{\pi}{2}

b)

 0  and  π0\ \ and\ \ \pi 

c)

π4\frac{\pi}{4}

d)

 2π2\pi 

8.

Solve for all values of x over the interval [0,2π]

a)

3π4 and 7π4\frac{3\pi}{4}\ and\ \frac{7\pi}{4}

b)

π4 , 3π4 , 5π4 and 7π4\frac{\pi}{4}\ ,\ \frac{3\pi}{4}\ ,\ \frac{5\pi}{4}\ and\ \frac{7\pi}{4}

c)

DNE

d)

π4 and 5π4\frac{\pi}{4}\ and\ \frac{5\pi}{4}

9.

Solve for all values of x over the interval [0,2π]

a)

0

b)

π\pi

c)

0 and π0\ and\ \pi

d)

DNE

10.

Solve for all values of x over the interval [0,2π]

a)

π6 and 11π6\frac{\pi}{6}\ and\ \frac{11\pi}{6}

b)

π3 and 5π3\frac{\pi}{3}\ and\ \frac{5\pi}{3}

c)

DNE

d)

π6 and 5π6\frac{\pi}{6}\ and\ \frac{5\pi}{6}