Maryland institute handbook . relationships of the three sides are given by theformulas: Wherein m is the hypothenuse, o the base, and n thealtitude. m2= n2-\-o2 m = Vft2 + o2, n— ?\m2 — o2 and o= ?\m2 — n2, Example. m = 5, n = 3, angle c = 90°. To find o. Solution. o2 = m2-n2oro2=(5X5)--(3X3)=25-9 = Vl6 = 4. 60 Triangles FUNCTIONS OF RIGHT ANGLE TRIANGLES (See Fig. 25.) They are known as follows: Sine (abbreviation sin)—The side opposite the anglewhen the hypothenuse is considered as the radius of thecircle. Cosine (abbreviation cos)—The side adjacent to theangle when the hypothenuse is
Maryland institute handbook . relationships of the three sides are given by theformulas: Wherein m is the hypothenuse, o the base, and n thealtitude. m2= n2-\-o2 m = Vft2 + o2, n— ?\m2 — o2 and o= ?\m2 — n2, Example. m = 5, n = 3, angle c = 90°. To find o. Solution. o2 = m2-n2oro2=(5X5)--(3X3)=25-9 = Vl6 = 4. 60 Triangles FUNCTIONS OF RIGHT ANGLE TRIANGLES (See Fig. 25.) They are known as follows: Sine (abbreviation sin)—The side opposite the anglewhen the hypothenuse is considered as the radius of thecircle. Cosine (abbreviation cos)—The side adjacent to theangle when the hypothenuse is considered as the radiusof the circle. It is the sine of the complementary angle,i. e., the sine of the angle remaining, after deducting theangle, first mentioned from 90°. Tangent (abbreviation tan)—The side opposite theangle when the base is considered as the radius of the circle. Cotangent (abbreviation cot)—The side opposite to thecomplementary angle with the base as the radius of thecircle. CQTAN. -. ^—COSINE—H FIG. 25. Secant (abbreviation sec)—The hypothenuse of the tri-angle when the base is considered as the radius of thecircle. Cosecant (abbreviation Cosec)—The hypothenuse ofthe complementary angle when the base is consideredas the radius of the circle. Triangles 61 The sines and cosines of angles lie wholly within thearc of the circle. The tangents and cotangents of angles lie wholly with-out the circle and are tangent thereto as the names imply. The hypothenuse of the triangle, when dealing withsines and cosines, acts as the radius of the circle, but whendealing with tangents and cotangents it is the line whichconnects either the end of the tangent or the end of thecotangent with the center of the circle, with the base ofthe triangle considered as the radius. In either casepart of the secant or cosecant lies within and the balancewithout the circle. The functions of angles indicate the relationship orratio between the sides of right angle tr
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Keywords: ., bookcentury1900, bookdecade1920, booksubjectmechanics, bookyear19
