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Trigonometry

Inverse trigonometric functions

Learn
Intro to arcsine
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Intro to arctangent
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Intro to arccosine
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Restricting domains of functions to make them invertible
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Domain & range of inverse tangent function
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Using inverse trig functions with a calculator
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Inverse trigonometric functions review
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Practice
Evaluate inverse trig functionsGet 3 of 4 questions to level up!

Sinusoidal equations

Learn
Solving sinusoidal equations of the form sin(x)=d
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Solving cos(θ)=1 and cos(θ)=-1
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Practice
Solve sinusoidal equations (basic)Get 3 of 4 questions to level up!
Solve sinusoidal equationsGet 3 of 4 questions to level up!

Sinusoidal models

Learn
Trig word problem: solving for temperature
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Trigonometric equations review
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Practice
Sinusoidal models word problemsGet 3 of 4 questions to level up!

Trigonometric identities

Learn
Sine & cosine identities: symmetry
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Tangent identities: symmetry
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Sine & cosine identities: periodicity
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Tangent identities: periodicity
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Angle addition identities

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Review of trig angle addition identities
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Using the cosine angle addition identity
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Using the cosine double-angle identity
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Proof of the sine angle addition identity
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Proof of the cosine angle addition identity
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Practice
Using the trig angle addition identitiesGet 3 of 4 questions to level up!

Using trigonometric identities

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Finding trig values using angle addition identities
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Using trig angle addition identities: finding side lengths
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Using trig angle addition identities: manipulating expressions
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Using trigonometric identities
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Trig identity reference
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Practice
Find trig values using angle addition identitiesGet 3 of 4 questions to level up!

About this unit

In Algebra 2, students learned about the trigonometric functions. In this unit, we extend this world by proving various trigonometric identities and defining the inverse trigonometric functions, which allow us to solve trigonometric equations.