Angles & Measurement
Degrees, radians, coterminal angles, arc length and angular measurement.
Foundation
TRIGONOMETRY LEARNING HUB
Master Trigonometry.
Master Trigonometry.
Understand the triangle. Own the circle. Solve the equation.
A complete interactive learning environment for angles, right triangles, trigonometric functions, the unit circle, graphs, identities, equations and real-world applications.
16+
Core learning modules
50+
Key formulas & concepts
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Practice potential
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INTERACTIVE
Trigonometry Lab
Calculate sine, cosine or tangent for an angle directly in your browser. Switch between degree and radian modes.
Trig Calculator
Enter an angle and choose a trigonometric function.
√2 / 2
sin(45°) ≈ 0.70710678
Unit Circle Quick Reference
Essential special-angle values for fast revision.
30°
π / 6
sin = 1/2
45°
π / 4
sin = √2/2
60°
π / 3
sin = √3/2
90°
π / 2
sin = 1
CURRICULUM
Learning Path
Build your knowledge from angle measurement to advanced identities, equations and triangle applications.
Right Triangle Trigonometry
Understand opposite, adjacent and hypotenuse using SOH-CAH-TOA.
CoreSine, Cosine & Tangent
Master the three fundamental trigonometric ratios.
CoreUnit Circle
Explore sine and cosine through coordinates on the unit circle.
CoreAll Six Trig Functions
Sine, cosine, tangent, secant, cosecant and cotangent.
CoreTrig Graphs
Graph sine, cosine and tangent with amplitude and period.
IntermediateTransformations
Amplitude, period, phase shift and vertical translations.
IntermediateInverse Trigonometry
Use sin⁻¹, cos⁻¹ and tan⁻¹ to recover unknown angles.
IntermediateTrig Identities
Pythagorean, reciprocal, quotient and cofunction identities.
AdvancedAngle Addition
Sum and difference identities for sine, cosine and tangent.
AdvancedDouble & Half Angles
Powerful identities for simplifying and evaluating expressions.
AdvancedTrig Equations
Solve trigonometric equations over specified intervals.
AdvancedLaw of Sines
Solve non-right triangles using the sine rule.
ApplicationLaw of Cosines
Solve SAS, SSS and general triangle problems.
ApplicationTriangle Applications
Heights, distances, elevation, depression and navigation.
ApplicationPolar & Advanced Trig
Polar coordinates, complex numbers and advanced applications.
ExpertPRACTICE ARENA
Train Your Trig Brain
Practice essential trigonometry facts and build your accuracy, streak and confidence.
QUESTION 1
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YOUR JOURNEY
Mastery Roadmap
Follow the progression from foundational geometry to advanced trigonometric reasoning.
1
Angles
Degrees & radians
2
Triangles
SOH-CAH-TOA
3
Unit Circle
Special angles
4
Functions
Six trig functions
5
Graphs
Amplitude & period
6
Identities
Simplify & prove
7
Equations
Solve trig equations
8
Applications
Real-world triangles
9
Advanced
Polar & complex
10
Mastery
Exam readiness
REFERENCE
Formula Library
Keep the essential equations close while you study.
Triangle
Pythagorean Theorem
a² + b² = c²
Right Triangle
Sine Ratio
sin(θ) = opposite / hypotenuse
Right Triangle
Cosine Ratio
cos(θ) = adjacent / hypotenuse
Right Triangle
Tangent Ratio
tan(θ) = opposite / adjacent
Identity
Pythagorean Identity
sin²θ + cos²θ = 1
Identity
Tangent Identity
tanθ = sinθ / cosθ
Identity
Secant Identity
1 + tan²θ = sec²θ
Identity
Cosecant Identity
1 + cot²θ = csc²θ
Triangle
Sine Rule
a/sin(A) = b/sin(B) = c/sin(C)
Triangle
Cosine Rule
c² = a² + b² − 2ab cos(C)
Application
Triangle Area
Area = ½ab sin(C)
Radians
Arc Length
s = rθ
E-LEARNING NETWORK
Math Ecosystem
Move naturally between the mathematics learning platforms.