Trig Equation Solver — Full
Solves sin/cos/tan/sec/cosec/cot equations — linear-in-angle, quadratic-in-trig (substitution), and more. Shows step-by-step + general solution.
Use
sin(x), cos(x), tan(x), cosec(x), sec(x), cot(x).
Powers accepted as sin^2(x) or sin(x)^2. Use x as variable. Use pi or Math.PI for π.
Supported: basic forms, linear-in-angle, quadratic-in-trig. Complex equations will attempt numeric handling.
How it works (summary):
- Recognizes forms:
f(a*x + b) = kwhere f=sin/cos/tan/sec/cosec/cot and solves for x (general solution). - Recognizes quadratic-in-trig: e.g.
a*sin^2(x)+b*sin(x)+c=0and solves by substitution s = sin(x). - Shows step-by-step algebra and provides general formula with parameter
n ∈ ℤ. - For complicated inputs not matched by the patterns, the tool attempts numeric root-finding on intervals and shows numeric solutions (within requested domain).
Examples