Advanced Trigonometry Calculator
Online Trigonometry Calculator
Basic Trigonometric Functions
Trigonometry is the study of relationships between the sides and angles of triangles. The main trigonometric ratios are:
- sin θ = opposite/hypotenuse
- cos θ = adjacent/hypotenuse
- tan θ = opposite/adjacent = sin θ/cos θ
- cosec θ = hypotenuse/opposite = 1/sin θ
- sec θ = hypotenuse/adjacent = 1/cos θ
- cot θ = adjacent/opposite = 1/tan θ
Important Trigonometric Formulas
- Pythagorean Identity: sin²θ + cos²θ = 1
- Double Angle Formula (sin): sin(2θ) = 2sinθcosθ
- Double Angle Formula (cos): cos(2θ) = cos²θ – sin²θ
- Sum Formula: sin(A + B) = sinA·cosB + cosA·sinB
- Area of Triangle: Area = ½·a·b·sin(C)
How to Use This Calculator
- Enter your trigonometric problem in the input box
- Use the dynamic keyboard below to input mathematical symbols and functions
- Click the “Solve Problem” button to get step-by-step solutions
- View the graphical representation below the solution
- Use different keyboard tabs for specific types of calculations:
- Basic: For common operations and functions
- Algebra: For algebraic expressions
- Trigonometry: For trigonometric functions
- Calculus: For derivatives and integrals
- Matrix: For matrix operations
- Statistics: For statistical calculations
Examples
1. Solving trigonometric equations:
Solve: sin(x) = 0.5
2. Verifying identities:
Verify: sin²(x) + cos²(x) = 1
3. Solving triangles:
Solve triangle: side a=3, side b=4, angle C=90°
Frequently Asked Questions (FAQs)
Q1: What types of problems can this calculator solve?
A: This calculator can solve various trigonometric problems including basic evaluations, equations, identities, triangle solutions, and graphing trigonometric functions.
Q2: How accurate are the calculations?
A: The calculator provides results accurate to 4 decimal places for most calculations. For graphing, the visual representation is precise within standard mathematical tolerances.
Q3: Can I solve complex trigonometric equations?
A: Yes, the calculator can handle complex trigonometric equations including multiple terms and combined functions. Use the keyboard to input complex expressions accurately.
Q4: Does it show steps for all solutions?
A: Yes, the calculator provides detailed step-by-step solutions for all supported problem types, helping you understand the solution process.
Q5: Can I save or share my solutions?
A: Currently, you can copy the solutions manually. The graphs can be visualized dynamically but cannot be exported directly.