Trigonometric Equation Solver
font-weight:600;"> Enter any trigonometric equation (e.g., sin(x)=0.5, 2sin(2x)=√3, cos²(x)=0.75). The Trigonometric Equation Solver finds all exact solutions in [0°, 360°) with full step-by-step working.
Try these examples:
• sin(x) = 0.5
• cos(x) = -√3/2
• tan(2x) = √3
• 2sin²(x) - 1 = 0
• cos²(x) = 3/4
• sin(x) + cos(x) = 1
About the Trigonometric Equation Solver
The Trigonometric Equation Solver is the most advanced free online tool for solving trigonometric equations with complete step-by-step explanations. This Trigonometric Equation Solver supports over 20 common forms including basic, double-angle, half-angle, linear combinations, and squared identities — all solved using rigorous algebraic and trigonometric methods from peer-reviewed mathematics (Stewart, *Calculus*, 2015; Anton, *Calculus*, 2016). Proudly supported by Agri Care Hub.
Why This Tool Is Essential
Solving trigonometric equations is one of the most important and frequently tested skills in high-school and college mathematics. Whether you're preparing for exams (SAT, ACT, AP Calculus, IB, A-Level), studying physics, engineering, or astronomy, or teaching a class — this solver provides instant, textbook-quality solutions that help you understand every step of the process.
Supported Equation Types
Multiple angle: sin(ax+b)=k, cos(ax+b)=k, tan(2x)=k
Squared: sin²(x)=k, cos²(x)=k, tan²(x)=k
Linear combinations: a sin(x) + b cos(x) = c
Identities: sin(2x), cos(2x), sin²(x), etc.
How to Use the Trigonometric Equation Solver
- Type your equation exactly as written (use x as the variable).
- Use standard functions: sin(x), cos(x), tan(x), and parentheses.
- Click “Solve Trigonometric Equation”.
- Get all solutions in [0°, 360°) with complete working shown.
When Should You Use This Tool?
- High-school & college trigonometry homework
- Exam preparation (AP, IB, SAT, ACT, university entrance)
- Physics: waves, oscillations, AC circuits
- Engineering: signal processing, vibrations
- Teaching: generate perfect worked solutions instantly
- Self-study and competitive mathematics
Scientific Foundation
All solutions are derived from the unit circle, periodicity, inverse trigonometric functions, and algebraic identities. The methods are identical to those taught in every standard textbook and used in peer-reviewed research. Full list of identities at Trigonometric Equation on Wikipedia.
Conclusion
The Trigonometric Equation Solver is the ultimate companion for anyone learning or teaching trigonometry. With instant, accurate, step-by-step solutions, it turns frustration into understanding. For more math tools, visit Agri Care Hub.