Solve Trigonometry Equations by Factoring
The same type of factoring that algebra uses to solve equations is a great help in solving trigonometry equations. The only trick with the trig equations is to recognize that instead of just x‘s, y‘s, or other singleletter variables, trig variables such as sin x or sec y exist.
Here’s a list of the basic factoring patterns so that you know which factoring techniques to apply.
Factoring binomials:

Greatest common factor: ab cb= b (a c)

Difference of squares: a^{2} – b^{2} = (a + b)(a – b)

Sum or difference of cubes: a^{3} + b^{3} = (a + b)(a^{2} – ab + b^{2}) and a^{3} – b^{3} = (a – b)(a^{2} + ab +b^{2})
Factoring trinomials:

Greatest common factor: ax^{2} + ax + ac = a(x^{2} + x + c)

UnFOIL: abx^{2} + (ad + bc)x + cd = (ax + c)(bx + d)
Factoring by grouping:

abxy + adx + bcy + cd = ax (by + d) + c (by + d) = (ax + c)(by + d)