Simple Trigonometric Equations

sin x

100

sinx=0

x=pi*k

200

2sinx-1=0

x=(-1)^k*(pi/6)+pi*k

300

2sinx-(sqrt(3))=0

x=(-1)^k*(pi/3)+pi*k

400

sin(x+(pi/3))=1/2

x=(-1)^k*(-pi/6)+pi*k

cos x

100

cosx=-sqrt(2)/2

x=(3pi/4)+2pi*k

x=5pi/4 + 2pi*k

200

2cosx+sqrt(3)=0

x=5pi/6+2pi*k

x=7pi/6+2pi*k

300

2cosx+sqrt(2)=0

x=3pi/4+2pi*k

x=5pi/4+2pi*k

400

cos(x-pi/6)=1/2

x=pi/2+2pi*k

x=11pi/6+2pi*k

tan x

100

tanx=-sqrt(3)/3

x=5pi/6+pi*k

200

6tanx - 2*sqrt(3)=0

x=pi/6+pi*K

300

9tanx - 3*sqrt(3)=0

x=pi/6+pi*k

400

tan(x+pi/3)=2

x=arctan(2)-pi/3+pi*k

cot x

100

cotx = -sqrt(3)

x=5pi/6 + pi*k

200

2cotx =0

x=pi/2 +pi*k

300

3cotx - 3*sqrt(3)=0

x=pi/6 +pi*k

400

cot(x-pi/6)=3

x=arccot(3)+pi/6 +pi*k