Online Trigonometry Calculator Free

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

  1. Enter your trigonometric problem in the input box
  2. Use the dynamic keyboard below to input mathematical symbols and functions
  3. Click the “Solve Problem” button to get step-by-step solutions
  4. View the graphical representation below the solution
  5. 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.