What is in mathematical text

The trails have 30 new classes: three preparatory classes for Elementary I, six for Elementary II and 21 for High School. The classes at the last two levels develop the themes of the 51 items of the theoretical summary of the reference volume, with definitions, LaTeX formulas, demonstrations and commented exercises.

This is a didactic rewriting of the themes. The full version — theory with all demonstrations, all exercises with resolution or answers and entrance exam tests — is in the interactive Trigonometry book.

Chapter and summary item Step Class in text and LaTeX
I. Arcs and angles · 1. Circumference arcs Fundamental II Arcs, chords, rays and angles
I. Arcs and angles · 2. Arch measurements High School Radians, arc length and trigonometric cycle
I. Arcs and angles · 3. Angles of two rays Fundamental II Arcs, chords, rays and angles
I. Arcs and angles · 4. Measure of angles Fundamental II Angle measurement in degrees, minutes and seconds
I. Arcs and angles · 5. Trigonometric cycle High School Radians, arc length and trigonometric cycle
II. Circular functions · 1. General notions High School Circular functions and periodicity
II. Circular functions · 2. Periodic functions High School Circular functions and periodicity
II. Circular functions · 3. Sine function High School Sine function: definition, signs and graph
II. Circular functions · 4. Cosine function High School Cosine function: horizontal coordinate and graph
II. Circular functions · 5. Tangent function High School Tangent function: slope, domain and graph
II. Circular functions · 6. cotangent function High School Cotangent, secant and cosecant
II. Circular functions · 7. Drying function High School Cotangent, secant and cosecant
II. Circular functions · 8. Cosecant function High School Cotangent, secant and cosecant
III. Fundamental relationships · 1. Introduction High School Fundamental relationships demonstrated
III. Fundamental relationships · 2. Fundamental relationships High School Fundamental relationships demonstrated
III. Fundamental relationships · 3. Identities High School Identities and three demonstration paths
III. Fundamental relationships · 4. Demonstration of identity High School Identities and three demonstration paths
IV. Reduction to the 1st quadrant · 1. Reduction from the 2nd to the 1st quadrant High School Reduction of the second, third and fourth quadrants
IV. Reduction to the 1st quadrant · 2. Reduction from the 3rd to the 1st quadrant High School Reduction of the second, third and fourth quadrants
IV. Reduction to the 1st quadrant · 3. Reduction from the 4th to the 1st quadrant High School Reduction of the second, third and fourth quadrants
IV. Reduction to the 1st quadrant · 4. Reduction from [π/4, π/2] to [0, π/4] High School Complements, reduction identities and parity
IV. Reduction to the 1st quadrant · 5. Identities High School Complements, reduction identities and parity
IV. Reduction to the 1st quadrant · 6. Even functions and odd functions High School Complements, reduction identities and parity
V. Notable arches · 1. Theorem Fundamental II Inscribed polygons and the sine of a central half angle
V. Notable arches · 2. Applications Fundamental II Demonstrations of the values ​​of 30, 45 and 60 degrees
VI. Transformations · 1. Addition formulas High School Arc addition and subtraction formulas
VI. Transformations · 2. Multiplication formulas High School Sine, cosine and tangent of double and triple arc
VI. Transformations · 3. Division formulas High School Division formulas and half arc tangent
VI. Transformations · 4. Half arc tangent High School Division formulas and half arc tangent
VI. Transformations · 5. Transformation into product High School Transform sums into products and products into sums
VII. Equations · 1. Fundamental equations High School Fundamental equations of sine, cosine and tangent
VII. Equations · 2. Solving the equation sin α = sin β High School Fundamental equations of sine, cosine and tangent
VII. Equations · 3. Solving the equation cos α = cos β High School Fundamental equations of sine, cosine and tangent
VII. Equations · 4. Solving the equation tg α = tg β High School Fundamental equations of sine, cosine and tangent
VII. Equations · 5. Solutions of an equation within a certain range High School Intervals and classical trigonometric equations
VII. Equations · 6. Classical equations High School Intervals and classical trigonometric equations
VII. Equations · 7. Inverse circular functions High School Arcsine, arccosine and arctangent
VIII. Inequalities · 1. Fundamental inequalities High School Sine, cosine and tangent inequalities
VIII. Inequalities · 2. Resolution of sin x > m High School Sine, cosine and tangent inequalities
VIII. Inequalities · 3. Resolution of sin x < m High School Sine, cosine and tangent inequalities
VIII. Inequalities · 4. Resolution of cos x > m High School Sine, cosine and tangent inequalities
VIII. Inequalities · 5. Resolution of cos x < m High School Sine, cosine and tangent inequalities
VIII. Inequalities · 6. Resolution of tg x > m High School Sine, cosine and tangent inequalities
VIII. Inequalities · 7. Resolution of tg x < m High School Sine, cosine and tangent inequalities
IX. Right triangles · 1. Main elements Fundamental II Pythagoras, height and projections in the right triangle
IX. Right triangles · 2. Geometric Properties Fundamental II Pythagoras, height and projections in the right triangle
IX. Right triangles · 3. Trigonometric properties Fundamental II Trigonometric ratios and solving right triangles
IX. Right triangles · 4. Solving right-angled triangles Fundamental II Trigonometric ratios and solving right triangles
X. Any triangles · 1. Trigonometric properties High School Laws of sines, cosines, projections and areas
X. Any triangles · 2. Geometric Properties High School Heights, Heron, medians, angle bisectors and radii
X. Any triangles · 3. Solving any triangles High School Resolution of triangles and discussion of the ambiguous case

Return to Trigonometry · Interactive book