# Trigonometric functions

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Practice

## The unit circle definition of sine, cosine, & tangent

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Unit circleThe trig functions & right triangle trig ratiosTrig unit circle review

## The graphs of sine, cosine, & tangent

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Graph of y=sin(x)Graph of y=tan(x)Intersection points of y=sin(x) and y=cos(x)

## Basic trigonometric identities

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Sine & cosine identities: symmetryTangent identities: symmetrySine & cosine identities: periodicityTangent identities: periodicity

## Trigonometric values of special angles

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Trig values of special angles

## Pythagorean identity

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Proof of the Pythagorean trig identityUsing the Pythagorean trig identityPythagorean identity review
Practice

## Introduction to amplitude, midline, & extrema of sinusoidal functions

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Features of sinusoidal functions

## Finding amplitude & midline of sinusoidal functions from their formulas

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Amplitude & period of sinusoidal functions from equation
Practice

## Period of sinusoidal functions

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Amplitude & period of sinusoidal functions from equationMidline, amplitude, and period review

## Graphing sinusoidal functions

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Transforming sinusoidal graphs: vertical stretch & horizontal reflectionTransforming sinusoidal graphs: vertical & horizontal stretches
Practice

## Constructing sinusoidal functions

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Sinusoidal function from graphTrig word problem: modeling daily temperatureTrig word problem: modeling annual temperature

## The inverse trigonometric functions

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Intro to arcsineIntro to arctangentIntro to arccosineRestricting domains of functions to make them invertibleDomain & range of inverse tangent functionUsing inverse trig functions with a calculatorInverse trigonometric functions review

## Solving basic sinusoidal equations

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Solving sinusoidal equations of the form sin(x)=dSolving cos(θ)=1 and cos(θ)=-1

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Practice

## Solving sinusoidal models

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Trig word problem: solving for temperatureTrigonometric equations review

## Introduction to the trigonometric angle addition identities

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Review of trig angle addition identitiesUsing the cosine angle addition identityUsing the cosine double-angle identityProof of the sine angle addition identityProof of the cosine angle addition identity

## Using trigonometric identities to solve problems

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Finding trig values using angle addition identitiesUsing trig angle addition identities: finding side lengthsUsing trig angle addition identities: manipulating expressionsUsing trigonometric identities
Practice

## Parametric equations

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Parametric equations introRemoving the parameter in parametric equationsRemoving the parameter in parametric equations (example 2)Parametric equations with the same graph

#### Unit test

Test your understanding of Trigonometric functions with these 13 questions.