7/25/2019 Topics in a Trigonometry Course.docx

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Topics in a TrigonometryCourse

To learn more about a topic listed below, click the topic nameto go to the corresponding MathWorldclassroom page.

Cosine

In a right triangle, the ratio of thelength of a given angle's adjacentside to the length of the hypotenuse.The cosine function is one of thebasic functions encountered intrigonometry (the others being thesine and tangent.

!ouble"#ngle $ormulas

# set of formulas that e%presstrigonometric functions of twice anangle in terms of the trigonometricfunctions of the original angle.

&alf"#ngle $ormulas

# set of formulas that e%presstrigonometric functions of half anangle in terms of the trigonometricfunctions of the original angle.

aw of Cosines

# formula relating the side lengths

and angles of a general triangle. It isa generaliation of the )ythagoreantheorem.

aw of *ines$or general triangles, a formularelating the ratios of sines of anglesto the opposite side lengths.

*ine

In a right triangle, the ratio of the

length of a given angle's oppositeside to the length of the hypotenuse.The sine function is one of the basicfunctions encountered intrigonometry (the others being thecosine and tangent.

Tangent

In a right triangle, the ratio of thelength of a given angle's oppositeside to the length of the angle'sadjacent side. The tangent function

is one of the basic functionsencountered in trigonometry (theothers being the cosine and sine.

Trigonometric #ddition$ormulas

# set of formulas that e%presstrigonometric functions of sums ofangles in terms of the trigonometricfunctions of the original angles.

TrigonometryThe study of angles and of theangular relationships of planar andthree"dimensional figures.

+nit Circle # circle of radius one.

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http://mathworld.wolfram.com/classroom/Cosine.htmlhttp://mathworld.wolfram.com/classroom/Double-AngleFormulas.htmlhttp://mathworld.wolfram.com/classroom/Half-AngleFormulas.htmlhttp://mathworld.wolfram.com/classroom/LawofCosines.htmlhttp://mathworld.wolfram.com/classroom/LawofSines.htmlhttp://mathworld.wolfram.com/classroom/Sine.htmlhttp://mathworld.wolfram.com/classroom/Tangent.htmlhttp://mathworld.wolfram.com/classroom/TrigonometricAdditionFormulas.htmlhttp://mathworld.wolfram.com/classroom/TrigonometricAdditionFormulas.htmlhttp://mathworld.wolfram.com/classroom/Trigonometry.htmlhttp://mathworld.wolfram.com/classroom/UnitCircle.htmlhttp://mathworld.wolfram.com/classroom/Double-AngleFormulas.htmlhttp://mathworld.wolfram.com/classroom/Half-AngleFormulas.htmlhttp://mathworld.wolfram.com/classroom/LawofCosines.htmlhttp://mathworld.wolfram.com/classroom/LawofSines.htmlhttp://mathworld.wolfram.com/classroom/Sine.htmlhttp://mathworld.wolfram.com/classroom/Tangent.htmlhttp://mathworld.wolfram.com/classroom/TrigonometricAdditionFormulas.htmlhttp://mathworld.wolfram.com/classroom/TrigonometricAdditionFormulas.htmlhttp://mathworld.wolfram.com/classroom/Trigonometry.htmlhttp://mathworld.wolfram.com/classroom/UnitCircle.htmlhttp://mathworld.wolfram.com/classroom/Cosine.html