Hi , out of my 100 question holiday packet, these are ones I just couldn't understand:

Solve these equations in the indicated domain

(1+cos(theta))/(sin(theta))=-1

domain: [-180,180)

cos4(theta) - sin2(theta) = 0

domain: (-90,90)

cos4(theta) - sin2(theta) = 1

domain: [-90,90)

cos3(theta) + cos5(theta) = 0

domain: (-90,90)

sin5(theta) + sin7(theta) = 0

domain: [-90,90)

cosx - root3(sinx) = 1

domain (0,2pi]

sinx - root3(cosx) = 1

domain: [-pi,pi]

[tan(10theta) + tan50(deg)]/[1-tan(10theta)tan50(deg)] = (root3)/3

domain: (0,90)

tan(theta) - tan(10theta) = 1 + tan(theta)tan10(deg)

domain: [-180,180]

tan(1/2)x + 1 = cosx

domain: [0,4pi]

2(cos^2)(1/2)x - 2 = 2cosx

domain: [-pi,pi)

2cos(theta + 30)cos(theta - 30) = 1

domain: [-180,180]

4sin(theta + 75)cos(theta - 75) = 1

domain: [-180,180)

(cos^2)(1/2)x - (1/2)cosx = 1/2

domain: real numbers

sinxtan(1/2)x = 1 - cosx

domain: real numbers

Any help is greatly appreciated!

Thanks!