Trigonometry Calculator
All six functions + SAS triangle solver
Angle
No matches
SAS — two sides + included angle
Side a
Angle B
Angle C
Area
Trigonometry Calculator — Complete Guide & Instructions
MakeCard Trigonometry Calculator evaluates all six trigonometric functions at once and solves triangles. In Functions mode, enter any angle in degrees or radians to get sin, cos, tan, cosec, sec and cot together. In Triangle (SAS) mode, enter two sides and the included angle to get the third side, the remaining angles and the area — ideal for students checking homework, teachers preparing examples, and anyone doing field measurement or construction maths.
How to Use Trigonometry Calculator
- 1 Choose the "Functions" tab for function values, or "Triangle (SAS)" for solving a triangle.
- 2 In Functions mode, type the angle and pick "Degrees" or "Radians" from the unit dropdown.
- 3 Click "Calculate" to see sin, cos, tan, cosec, sec and cot displayed in six tiles.
- 4 In Triangle mode, enter Angle A in degrees plus the adjacent sides b and c.
- 5 Click "Solve triangle" to get side a, angles B and C, and the triangle area.
- 6 Read undefined values as ∞ — e.g. tan(90°) and cosec(0°) are shown as infinity.
Key Features & Capabilities
- All six trig functions — sin, cos, tan, cosec, sec and cot — computed in one click.
- Degree and radian input modes with instant unit switching.
- SAS triangle solver using the law of cosines and law of sines.
- Triangle output includes the missing side, both remaining angles and the area.
- Graceful infinity handling for asymptotes like tan(90°).
- Clear validation message when required sides or the angle are missing.
Supported Formats & Specifications
| Parameter | Specification |
|---|---|
| Functions | sin, cos, tan, cosec, sec, cot |
| Angle input | Degrees or radians |
| Triangle mode | SAS — two sides + included angle A |
| Triangle output | Side a, angle B, angle C, area |
| Precision | 6 decimals (functions), 4 decimals (triangle) |
Practical Everyday Use Cases
- Checking trigonometry homework for classes 10–12 and engineering courses.
- Finding the height of a pole or building from a measured distance and elevation angle.
- Solving oblique triangles in surveying, navigation and carpentry layouts.
- Verifying sin/cos values while studying for SSC, JEE or other competitive exams.
- Computing roof pitch and ramp angles in construction and DIY projects.
Pro Tips for Best Results
- Switch to radians when working with calculus problems — π/4 ≈ 0.7854.
- In SAS mode, the angle must be the one between the two known sides — otherwise the result will not match your triangle.
- Remember tan is undefined at 90° and 270° — the tool shows ∞ there.
- For right triangles, use the Functions tab: opposite = hypotenuse × sin(angle).
Common Problems & Solutions
All three fields — angle A, side b and side c — must be filled with positive numbers. Check for empty or zero inputs.
The solver uses the law of sines; for some SAS inputs the ambiguous case can appear. Cross-check with A + B + C = 180° shown in the result.
Floating-point noise — values like sin(π) display as 0 after rounding, but near-zero results at other angles are normal rounding artefacts.
Privacy & Security
100% Client-Side Execution
All trigonometric computation runs locally in your browser — no angles, sides or results are transmitted or stored.
Frequently Asked Questions
Everything you need to know about using Trigonometry Calculator
Sine (sin), cosine (cos) and tangent (tan) are the primary three. Their reciprocals are cosecant (cosec = 1/sin), secant (sec = 1/cos) and cotangent (cot = 1/tan). This tool computes all six together.
Multiply degrees by π/180 — e.g. 45° = 0.7854 rad. The calculator accepts both units directly via the dropdown, so no manual conversion is needed.
SAS means you know two Sides and the included Angle between them. From that, the law of cosines gives the third side and the law of sines gives the remaining angles.
tan = sin/cos, and cos(90°) = 0 — division by zero, so the function has a vertical asymptote there. The tool displays ∞ for such angles.
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