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Trigonometry & Precalculus : Game Your Way to Mastery -Part1
Rating: 4.7 out of 5(9 ratings)
15 students

Trigonometry & Precalculus : Game Your Way to Mastery -Part1

Learn trigonometry from basics to advanced,enjoy fun game-based learning, and master your skills with practice questions
Last updated 12/2025
English

What you'll learn

  • Definitions of sin, cos, tan
  • Pythagorean Theorem
  • Reciprocal functions: csc, sec, cot
  • Trig ratios of special angles
  • Unit circle definitions
  • Coordinates on the unit circle
  • Radian values and reference angles
  • Conversion between Degrees and Radians
  • Signs by quadrant
  • When the trig functions are undefined
  • Negative angles and angles more than one rotation
  • Radians and arc length
  • Area of a circular sector
  • Graphs of y = sin x, cos x, tan x
  • Amplitude, period, phase shift
  • Transformations of trig graphs
  • Pythagorean identities
  • Reciprocal and quotient identities
  • Co-function identities
  • Even–odd identities
  • Sum and difference identities
  • Double-angle and half-angle identities
  • Product-to-sum and sum-to-product

Course content

4 sections46 lectures2h 14m total length
  • Introduction to the six trig functions1:39
  • Definitions of sin, cos, tan4:36
  • Pythagorean Theorem1:52
  • EXAMPLE1:58
  • EXAMPLE2:34
  • EXAMPLE3:14
  • Reciprocal functions: csc, sec, cot2:34
  • Trig ratios of special angles4:13
  • QUIZ
  • GAME10:02

Requirements

  • Basic algebra - No prior trigonometry needed- Calculator (optional)

Description

Note: This course makes learning trigonometry easy, turns it into a fun and memorable experience through games, and helps you solve exam problems faster and with more confidence.

* Do you find trigonometry formulas confusing and hard to remember?

* Struggling to connect trigonometry concepts with real problems and exams?

* Want to make trigonometry easier, more fun, and unforgettable?

With this course, you’ll learn trigonometry step by step so formulas finally make sense and are easy to remember.

You’ll connect concepts to practice through fun, game-based activities and exam-style questions.

You’ll discover that math can be easy, engaging, and unforgettable when learning feels like a game.

By the end of Part 1, you’ll solve problems faster, with more confidence, and score higher in your exams.


Headline:


Definitions of sin, cos, tan – Learn the basic definitions of sine, cosine, and tangent using right triangles.

Pythagorean Theorem – Use the Pythagorean Theorem to connect side lengths and trigonometric ratios.

Reciprocal functions: csc, sec, cot – Discover how cosecant, secant, and cotangent extend the primary trig functions.

Trig ratios of special angles – Quickly solve problems using 30°, 45°, and 60° triangle ratios.

Unit circle definitions – Define trig functions using the unit circle for all angles.

Coordinates on the unit circle – Understand how (x, y) coordinates represent trig values.

Radian values and reference angles – Work with radians and find reference angles to simplify problems.

Conversion between Degrees and Radians – Master switching between degrees and radians.

Signs by quadrant – Learn where each trig function is positive or negative.

When the trig functions are undefined – Identify values where trig functions are undefined.

Negative angles and angles more than one rotation – Simplify negative angles and those beyond 360° (2π).

Radians and arc length – Connect radian measure with the length of arcs in a circle.

Area of a circular sector – Apply trig to find the area of circular sectors.

Graphs of y = sin x, cos x, tan x – Explore the shapes of sine, cosine, and tangent graphs.

Amplitude, period, phase shift – See how amplitude, period, and shifts change trig graphs.

Transformations of trig graphs – Learn how to stretch, compress, and shift trig functions.

Pythagorean identities – Use Pythagorean identities to simplify expressions.

Reciprocal and quotient identities – Relate trig functions with reciprocal and quotient identities.

Co-function identities – Connect pairs like sin and cos, tan and cot through co-function rules.

Even–odd identities – Simplify trig functions using even-odd symmetry.

Sum and difference identities – Break down trig of (A ± B) into simpler functions.

Double-angle and half-angle identities – Simplify problems with 2θ and θ/2 identities.

Product-to-sum and sum-to-product – Turn products into sums (and vice versa) to solve complex problems.

By enrolling in this course, you’ll not only master trigonometry but also get the chance to ask me your questions anytime along the way.


Who this course is for:

  • High school students who need a clear foundation in trigonometry
  • College students in math, physics, or engineering
  • Test-takers preparing for SAT, GRE, AP Calculus, or IB
  • Teachers and tutors looking for ready-to-use explanations
  • Self-learners who want a step-by-step approach
  • Anyone interested in real-world applications of trigonometry