Unit 6 Trig Equations

Unit Circle [0,2𝛑]

100

10sinx+3=-2

x = 7𝛑/6

x = 11𝛑/6

200

2cosx-sqrt(2)=0

x = 𝛑/4

x = 7𝛑/4

300

cosx+17=17

x = 𝛑/2

x = 3𝛑/2

400

6cosx+10=27

DNE!!!

500

-3sinx-11=8

DNE!!!

sin^-1 [0,2𝛑]

100

8sinx-3=4

x = 1.065

x = 2.076

200

12sinx-11=-22

x = 5.124

x = 4.301

300

12sinx+3=13

x = 0.985

x = 2.156

400

10sinx+11=2

x = 5.163

x = 4.261

500

2(5-3sinx)=12

x = 3.481

x = 5.943

cos^-1 [0,2𝛑]

100

10cosx-1=-4

x = 1.875

x = 4.408

200

20cosx-5=7

x = 0.927

x = 5.356

300

7cosx+2=5

x = 1.128

x = 5.155

400

11cosx-1=2

x = 1.295

x = 4.989

500

3(4+cosx)=13

x = 1.231

x = 5.052

(-inf, +inf)

100

2sinx+2=3

x = 𝛑/6 + 2k𝛑

x = 5𝛑/6 + 2k𝛑

200

cosx= -sqrt(2)/2

x = 3𝛑/4 + 2𝛑k

x = 5𝛑/4 + 2𝛑k

300

10sinx=9

x = 1.120 +2𝛑k

x = 2.022 + 2𝛑k

400

10cosx = 3

x = 1.266 + 2𝛑k

x = 5.017 + 2𝛑k

500

sinx=0

x = 𝛑 + 2𝛑k

x = 0 + 2𝛑k

Specified Intervals

100

8sinx-3=4, for [14𝛑, 16𝛑]

x = 45.048

x = 46.058

200

10cosx-1=-4 for [-10𝛑, -8𝛑]

x = -29.540

x = -27.008

300

cosx+17=17 for [-18𝛑, -16𝛑]

x = -35𝛑/2

x = -33𝛑/2

400

12sinx+16=7 for [18𝛑, 20𝛑]

x = 61.984

x = 60.538

500

12sinx-11=-22 for [8𝛑, 10𝛑]

x = 30.256

x = 29.434