Type expressions using +, −, ×, ÷, ^, √, sin, cos, tan, log, ln. Press = to evaluate.
Solve ax² + bx + c = 0. Shows discriminant, roots, and nature of roots using the CAPS wording.
Find any term, sum, or the general formula for arithmetic, geometric and quadratic sequences.
Enter coefficients of a polynomial ax³ + bx² + cx + d. Get the derivative, value at x, and stationary points.
Compound interest, future value, present value, annuities, loans. All CAPS formula sheet equations.
Special angles, reductions, and sine/cosine/area rules.
| θ | 30° | 45° | 60° |
|---|---|---|---|
| sin θ | 1/2 | √2/2 | √3/2 |
| cos θ | √3/2 | √2/2 | 1/2 |
| tan θ | 1/√3 | 1 | √3 |
Simplify powers and roots with the CAPS laws.
| aᵐ × aⁿ = aᵐ⁺ⁿ | Multiply → add exponents |
| aᵐ ÷ aⁿ = aᵐ⁻ⁿ | Divide → subtract exponents |
| (aᵐ)ⁿ = aᵐⁿ | Power of power → multiply |
| a⁰ = 1 | Anything to the zero is 1 |
| a⁻ⁿ = 1/aⁿ | Negative → reciprocal |
| a^(m/n) = ⁿ√(aᵐ) | Fractional → root |
| √a × √b = √(ab) | Surd multiplication |
| √(a/b) = √a ÷ √b | Surd division |
The values the DBE provides — plus ones you must know by heart.
| π (pi) | 3.14159… |
| e (Euler's number) | 2.71828… |
| g (acceleration due to gravity) | 9.8 m·s⁻² |
| Speed of light c | 3 × 10⁸ m·s⁻¹ |
| sin 0°, 90°, 180°, 270°, 360° | 0, 1, 0, −1, 0 |
| cos 0°, 90°, 180°, 270°, 360° | 1, 0, −1, 0, 1 |
| tan 0°, 45°, 180° | 0, 1, 0 |
| tan 90°, 270° | undefined |