Function — Seno.
Featured in chapters
28·29·30·31·32·33
Linked atoms
62 linked atoms.
28 Circonferenza goniometrica e funzioni sin, cos, tan
- Arcs differing by pi
- Complementary arcs
- Domain, range and sign
- 2
- Fundamental identity with complementary arcs
- Graphs of sine and cosine
- Notable values
- Opposite arcs
- Periodicity
- Reading the solutions off the graph
- Sine, cosine and tangent of an arbitrary angle
- Supplementary arcs
- The fundamental identity
- Values using associated arcs
29 Formule di addizione, duplicazione, bisezione
- 3
- Example: linearising sin⁴α
- How the other formulae are derived
- Linearising sin²α cos²α
- Lowering the degree: linearisation formulae
- Proof of the bisection formulae
- Proof of the cosine subtraction formula
- Sine of 105° and cosine of 165°
- The addition and subtraction formulae
- The bisection formulae
- The duplication formulae
30 Formule parametriche, prostaferesi, Werner
- Equation with sum-to-product formulae
- Expression with parametric formulae
- Factorising a sum into a product
- Identity on the three angles of a triangle
- Linear equations in sine and cosine
- Sum-to-product formulae: from sum to product
- The parametric formulae
- Werner formulae: from product to sum
- When to use what
31 Equazioni goniometriche
- Definition and solution method
- Elementary trigonometric equations
- Equation with sum-to-product formulae
- Equations reducible to homogeneous ones
- Equations solvable by substitution
- Linear equation with two methods
- Reading on the trigonometric circle
- Second-degree equation in sine
- Second-degree homogeneous equation
- The auxiliary-angle method
- The parametric-formulae method
32 Disequazioni goniometriche
- Elementary inequalities with sine and cosine
- Elementary inequality with the sine
- Factorisation with the double-angle formula
- Inequalities with absolute value and roots
- Product of factors and sign table
- Product of factors with sign table
- The sign-study method
33 Trigonometria dei triangoli
- Area from two sides and the included angle
- Proof of the area formula
- Proof of the sine rule
- Side of an inscribed regular polygon
- Solving a triangle with the sine rule
- The chord theorem
- The sine rule
- Triangle from two angles and a side
- Trigonometric formula for the area
- Trigonometry in right-angled triangles