the angle formed by a horizontal line and the line of sight to an object below the horizontal line
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Angle of elevation
the angle formed by a horizontal line and the line of sight to an object above the horizontal line
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Cosine
ratio of the adjacent side to the hypotenuse of a right-angled triangle
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Geometric mean
the mean of n numbers expressed as the n-th root of their product
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Inverse cosine
An inverse trigonometric ratio, abbreviated as cosˉ¹. For acute angle A, if cosA=z, then cosˉ¹z=m
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Inverse sine
An inverse trigonometric ratio abbreviated as sin-1
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Inverse tangent
an inverse trigonometric ratio, abbreviated as tan-1
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Law of cosines
a²=b²+c²-2bcCosA
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Law of sines
sinA/a=sinB/b=sinC/c
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Pythagorean triple
a set of three positive integers that work in the pythagorean theorem
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Sine
ratio of the opposite side to the hypotenuse of a right-angled triangle
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Tangent
ratio of the opposite to the adjacent side of a right-angled triangle
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Trignometric ratio
a ratio of two sides of a right triangle
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AA Triangle Similarity Theorem
If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar.
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SAS Triangle Similarity Theorem
If two sides of one triangle are proportional to the corresponding sides of another triangle and their included angles are congruent, then the triangles are similar.
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SSS Triangle Similarity Theorem
If the three sides of one triangle are proportional to the corresponding sides of another triangle, then the triangles are similar.
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Corresponding parts of similar triangles
Two triangles are similar if and only if the corresponding sides are in proportion and the corresponding angles are congruent. There are three accepted methods of proving triangles similar: AA, SAS, and SSS.
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