Solve a Trigonometric Problem

Systematically solve trigonometric equations, triangle problems, and identity verifications by classifying the problem type, selecting the appropriate strategy, applying identities and laws, and verifying solutions against domain and range constraints.

When to Use

• Solving trigonometric equations for unknown angles or values
• Resolving triangles given partial information (SSS, SAS, ASA, AAS, SSA)
• Verifying or proving trigonometric identities
• Applying trigonometry to real-world problems (surveying, physics, engineering)
• Simplifying complex trigonometric expressions

Inputs

• Required: Problem statement (equation, triangle data, identity to verify, or application scenario)
• Required: Desired output form (exact values, decimal approximations, general solution, specific interval)
• Optional: Angle unit convention (radians or degrees; default: radians)
• Optional: Domain restriction (e.g., [0, 2*pi), [0, 360), all reals)
• Optional: Required precision for numerical answers (e.g., 4 decimal places)