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A Hidden Shift

Part of the Graphs of Trig Functions section of Coddy's Trigonometry journey. Lesson 47 of 51.

The goal row gives a sine wave with a number added inside the bracket. That number is not the shift on its own: factor first, then draw the wave.

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Challenge

Draw the graph on the goal row. Press Check.

Try it yourself

y=2sin(2x+pi/2)

Draw the graph

quiz iconTest yourself

This lesson includes a short quiz. Start the lesson to answer it and track your progress.

All lessons in Graphs of Trig Functions

1From Circle to Wave

Ride a Ferris WheelHeight on the Unit CircleUnrolling the Sine GraphThe Sine Graph in RadiansCircle to Wave Recap

4Period

Period: One Wave LongStretching the WavePeriod in Degreesb Is Not the PeriodPeriod Recap

7Reading a Graph

The Equation of a WaveSine or Cosine?From Peaks to a WaveAll Four at OnceReading Recap

10Final Challenges

A Wave From Its FactsA Hidden ShiftA Flipped TangentRead the Whole WaveGiant Wheel: the ModelGiant Wheel: the Height

2The Cosine Graph

Cosine: the Point's xThe Cosine GraphCosine Is a Shifted SineWhere Sine Meets CosineCosine Graph Recap

5Midline

The MidlineFrom Highest and LowestReading the MidlineMidline Recap

8The Tangent Graph

The Tangent GraphAsymptotesStretching the TangentGraphs of sec, csc and cotTangent Recap

3Amplitude

Amplitude: How TallAmplitude of a CosineA Negative a Flips ItAmplitude From a GraphAmplitude Recap

6Phase Shift

Phase Shift: SlidingPhase Shift in DegreesFactor Out b FirstReading a Phase ShiftPhase Shift Recap

9Modelling with Waves

A Ferris Wheel ModelDaylight Over a YearTidesUsing a ModelA Spring's BounceModelling Recap