Solving Trigonometric Equations

Linear Trigonometric Equations

100

Find all angles

0<=x<=2pi

solve

−3sinx−7=5sin⁡x−7

0, pi, 2pi

200

Find all angles

0<=x<=2pi

solve

−8tanx−11= tanx − 2

(3pi)/4 and (7pi)/4

300

Find all angles

0<=x<=2pi

solve

5cosx+sqrt11=0

2.296^r, 3.987^r

Reciprocal Linear Trig Equations

100

Find all angles

0<=x<=2pi

solve

3cotx+8=0

2.783^r, 5.9244^r

200

Find all angles

0<=x<=2pi

solve

2cscx+5=0

3.553^r, 5.872^r

300

Find all angles

0<=x<=2pi

solve

3secx+2=0

No solution

Trig Equations Radians

100

Solve the trigonometric equation for all values

0<=x<=2pi

4sin^2x−3=0

pi/3, (2pi)/3, (4pi)/3, (5pi)/3

200

Solve the trigonometric equation for all values

0<=x<=2pi

4cos^2x-1=0

pi/3, (2pi)/3, (4pi)/3, (5pi)/3

300

Solve the trigonometric equation for all values

0<=x<=2pi

4tan^2x-4=0

(pi)/4, (3pi)/4, (5pi)/4, (7pi)/4

Quadratic Trig Equations

100

Solve the trigonometric equation for all values

0<=x<=2pi

5sin^2x+2sinx=0

0^r, pi^r, 2pi^r, 3.553^r, 5.872^r

200

Solve the trigonometric equation for all values

0<=x<=2pi

4csc^2x-9=0

0.7297^r, 2.4118^r, 3.8713^r, 5.5534^r

300

Solve the trigonometric equation for all values

0<=x<=2pi

2cos⁡^2x+cos⁡x=0

pi/2, (3pi)/2, (2pi)/3, (4pi)/3

Solving Trig Equations by Factoring or Quadratic Formula

100

Solve the trigonometric equation for all values

0<=x<=2pi

10tanxsinx=sinx

0^r, pi^r, 2pi^r, 0.09967^r, 3.24126^r

200

Solve the trigonometric equation for all values

0<=x<=2pi

5sin^2x+6sinx-5=0

0.6018^r, 2.5398^r

300

Solve the trigonometric equation for all values

0<=x<=2pi

3cos^2x+10cosx+2=0

1.7862^r, 4.4970^r