How-To Guides
Step-by-step guides that teach you how to perform calculations manually.
How to Perform Number Theory Calculations: Step-by-Step Guide
Learn to manually identify prime numbers, apply divisibility rules, and calculate GCD and LCM. This guide provides formulas, examples, and common pitfalls.
Read guideTriangle Solver: Step-by-Step Guide
Solve any triangle with 3 known values
Read guideHow to Calculate Trigonometric Values on the Unit Circle: Step-by-Step Guide
Manual calculation of trig values
Read guideHow to Calculate Arctan: Step-by-Step Guide
Calculate inverse tangent manually
Read guideHow to Calculate Arccos: Step-by-Step Guide
Calculate arccos manually
Read guideHow to Calculate Arcsin: Step-by-Step Guide
Calculate arcsin manually
Read guideHow to Calculate Cosine: Step-by-Step Guide
Calculate cosine manually
Read guideHow to Calculate Sine: Step-by-Step Guide
Manual sine calculation
Read guideHow to Calculate Trigonometric Ratios: Step-by-Step Guide
Calculate sin, cos, tan manually
Read guideHow to Calculate Trigonometric Functions Manually
Manual trig calculations guide
Read guideHow to Calculate Trigonometry: Step-by-Step Guide
Learn trigonometry calculations by hand
Read guideHow to Calculate Tangent (tan) of an Angle: Step-by-Step Guide
Learn to manually calculate the tangent of any angle using its sine and cosine values. Understand the formula, common pitfalls, and when tan is undefined.
Read guideHow to Visualize Trigonometric Function Graphs: Step-by-Step Guide
Learn to manually graph sine, cosine, and tangent functions. Understand amplitude, period, phase shift, and vertical shift with formulas and examples.
Read guideHow to Calculate Inverse Trigonometric Functions: Step-by-Step Guide
Learn to manually calculate inverse trigonometric functions (arcsin, arccos, arctan). Understand formulas, domains, ranges, and common pitfalls with examples.
Read guideHow to Calculate the Volume of a Frustum: Step-by-Step Guide
Learn to manually calculate the volume of a frustum (truncated cone) using a simple formula. Includes prerequisites, a worked example, and common pitfalls.
Read guideHow to Calculate Torus Volume and Surface Area: Step-by-Step Guide
Learn to manually calculate the volume and surface area of a torus using major and minor radii. Includes formulas, a worked example, and common pitfalls.
Read guideHow to Calculate Box Volume: Step-by-Step Guide
Learn to manually calculate the volume of a rectangular box using its length, width, and height. Includes formula, example, and common pitfalls.
Read guideHow to Calculate Pool Volume: Step-by-Step Guide
Learn to manually calculate your swimming pool's volume in litres and gallons. Understand formulas for various shapes, worked examples, and common pitfalls.
Read guideHow to Calculate Pipe Volume: Step-by-Step Guide
Learn to manually calculate pipe volume using its length and internal diameter. Includes formula, worked example, and common pitfalls.
Read guideHow to Calculate the Volume and Surface Area of a Regular Tetrahedron: Step-by-Step Guide
Learn to manually calculate the volume and surface area of a regular tetrahedron using its edge length. Includes formulas, a worked example, and common pitfalls.
Read guideHow to Calculate Octahedron Properties: Step-by-Step Guide
Learn to manually calculate the volume, surface area, inradius, and circumradius of a regular octahedron using simple formulas. Includes a worked example.
Read guideHow to Calculate the Volume and Surface Area of a Hexagonal Prism: Step-by-Step Guide
Learn to manually calculate the volume and surface area of a hexagonal prism. This guide provides formulas, a worked example, common pitfalls, and practical tips.
Read guideHow to Calculate the Volume and Surface Area of a Pentagonal Prism: Step-by-Step Guide
Master calculating the volume and surface area of a pentagonal prism. Learn formulas, manual steps, and common pitfalls with a worked example.
Read guideHow to Calculate Ellipsoid Volume and Surface Area: Step-by-Step Guide
Learn to manually calculate the volume and approximate surface area of an ellipsoid using semi-axes a, b, c. Includes formulas, examples, and pitfalls.
Read guideHow to Calculate 3D Distance: Step-by-Step Guide
Learn to manually calculate the distance between two points in 3D space using the distance formula. Includes examples, pitfalls, and calculator use.
Read guideHow to Calculate Surface Area: Step-by-Step Guide
Learn to calculate the surface area of common 3D shapes like prisms, cylinders, and spheres manually. Step-by-step guide with formulas, examples, and pitfalls.
Read guideHow to Calculate Volume: Step-by-Step Guide for Common 3D Shapes
Learn to manually calculate the volume of common 3D shapes like cubes, cylinders, and spheres. Includes formulas, examples, and common pitfalls.
Read guideHow to Calculate the Volume and Surface Area of a Hollow Cylinder (Tube): Step-by-Step Guide
Learn to manually calculate the volume and surface area of a hollow cylinder (tube). Understand formulas, follow a worked example, and avoid common pitfalls.
Read guideHow to Calculate the Volume and Surface Area of a Triangular Prism: Step-by-Step Guide
Learn to manually calculate the volume and surface area of a triangular prism. This guide provides formulas, a step-by-step example, and common pitfalls.
Read guideHow to Calculate Capsule Volume and Surface Area: Step-by-Step Guide
Learn to manually calculate the volume and surface area of a capsule shape. This guide covers formulas, a worked example, common pitfalls, and when to use an online calculator.
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