solving trig equations

Secant & Cosecant

100

Find the solutions on the unit circle in degrees:

-6=-3sec(x)

What are 60 and 300?

200

Find the solutions on the unit circle in degrees:

5=1+2csc(x)

What are 30 and 150?

300

Find the solutions on the unit circle in radians.

3sec(x)+2-2sec²(x)=-3sec²(x)

What are 2pi/3, pi, and 4pi/3?

400

Find ALL solutions to the equation in degrees:

-7=-4-3csc(x) 

What is 90+360n?

500

Find the solutions on the unit circle in radians:

5/2=3+1/2 sec(3x)

What are pi/3, pi, and 5pi/3?

Sine & Cosine

100

Find the solutions on the unit circle in degrees:

4=-8cos(x)

What is 120 and 240?

200

Find the solutions on the unit circle in degrees:

-1+2/5 sin(x) =-6/5

What are 210 and 330?

300

Find the solutions on the unit circle in radians:

-1-2/3 sin(x)=(-3-sqrt(3))/3

What are pi/3 and 2pi/3?

400

Find all solutions in radians:

-4+4sin(x)=-6

What are 7pi/6+2npi and 11pi/6+2npi?

500

Find the solutions on the unit circle in radians:

-3+cos(x+pi)=-7/2

What are pi/3 and 5pi/3?

Factoring Trig Equations

100

Find the solutions on the unit circle in degrees:

0=2cos²(x)-cos(x)

What are 60, 90, 270, and 300?

200

Find the solutions on the unit circle in radians:

3sin(x)tan(x)+sqrt(3) sin(x)=0

What are 0, 5pi/6, pi, and 11pi/6?

300

Find the solutions on the unit circle in degrees:

-3sec(x)=-3csc(x)sec(x)-2sqrt(3)csc(x)-3sec(x)

What are 150 and 210?

400

Find the solutions on the unit circle in degrees:

-3tan²(x)=-4tan²(x)-2tan(x)-1

What are 135 and 315?

500

Find the solutions on the unit circle in radians:

-2csc(x)-3=csc²(x)-2

What is 3pi/2?

Tangent & Cotangent

100

Find the solutions on the unit circle in degrees:

-1/4 tan(x)=-1/4

What are 45 and 225? 

200

Find the solutions on the unit circle in radians:

-4=-2+2tan(x)

What are 3pi/4 and 7pi/4?

300

Find all solutions in degrees:

-2+3cot(x)=-2

What is 90+180n?

400

Find all solutions in radians:

-4+2cot(x)=-2

What is pi/4 +npi?

500

Find all solutions in radians:

-3tan(x/3)=-3sqrt(3)

What is pi+3npi?

Mixed and Identities

100

Find the solutions on the unit circle in degrees:

sin(2x)+2cos(x)=0

Hint use double angle identity

What are 90 and 270?

200

Find the solutions on the unit circle in degrees:

cos²(x)+2=sin²(x)+3cos(x)

What are 0, 60, and 300?

300

Find the solutions on the unit circle in degrees:

0=-2cot(x)-csc²(x)

What are 135 and 315?

400

Find the solutions on the unit circle in radians:

3sin(x)=sqrt(3) cos(x)

What are pi/6 and 7pi/6?

500

Find the solutions on the unit circle in radians:

-csc(x)+cot(x)=-1

What is pi/2?