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Books Books 1 - 10 of 10 on The sum of the squares of the sine and cosine of an angle is....  
" The sum of the squares of the sine and cosine of an angle is... "
A system of popular trigonometry - Page 37
by George Darley - 1835
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A philosophical and mathematical dictionary: containing an ..., Volume 2

Charles Hutton - Science - 1815
...form a right-angled triangle CDE or CDH, of which the radius CD is the hypothenuse ; and therefore the square of the radius is equal to the sum of the squares of the sine and cosine of any arc, that is, CD* = CE* -*- ED* or = сн1 -i- DH*. It is evident...
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Crocker's Elements of land surveying. To which are added, Tables of six ...

Abraham Crocker, Richard Farley - History - 1841
...sura of the squares of the chord of an arc, and of the chord of its supplement to a semi-circle. 2. The square of the radius is equal to the sum of the squares of the sine and co-sine. 3. The sum of the co-sine and versed-sine is equal to the radius....
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Elements of geometry, theoretical and practical: containing a full ...

George Clinton Whitlock - Mathematics - 1848 - 324 pages
...tan(90 a) ; &c. (303) seca = cosec(90 a), coseca = sec(90 a) ; &c. (304) PROPOSITION I. The sum of the squares of the sine and cosine of an arc (305) is equal to the square of the radius, or to unity, when the radius is taken for the unit...
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A complete system of mensuration, with additions by J. Trotter

Alexander Ingram - 1851
...the sine of half that arc : Thus BG = ^BL. 2. In the right-angled triangle CGB, CB2 = CG2 + GB2, or the square of the radius is equal to the sum of the squares of the sine and cosine of any arc; hence sin. = /J(R3 cos.2), cos. = V(R2 sin.2), or...
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Lessons on plane trigonometry

Edward Butler (A.M.) - 1862
...cos A' cos A' The theorem is, therefore, true for all angles that do not exceed two right angles. 39. The sum of the squares of the sine and cosine of an angle is equal to I. The right-angled triangle ACB (28) gives BCs-|-AC2 = AB2 ; substituting for the...
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Practical Surveying: A Text-book for Students Preparing for Examinations Or ...

George William Usill - Surveying - 1889 - 272 pages
...the sum of the squares of the chord of an arc, and of the chord of its supplement to a semicircle. 2. The square of the radius is equal to the sum of the squares of the sine and cosine. 3. The sum of the cosine and versed- sine is equal to the radius. 4....
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Manual of petrographic methods

Albert Johannsen - Optical mineralogy - 1914 - 649 pages
...T~+ cos / 21T/1 27T/2 , 2T/1 . 2lT/J\ + 2r1r. ^cos-j, cos , + sin - sin , J But the sum of the squares of the sine and cosine of an angle is equal to unity,1 and the sum of the product of the sines and cosines of two angles is equal...
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Plane Geometry

John Wesley Young, Albert John Schwartz - Geometry, Plane - 1915 - 223 pages
...cosine of its supplement, respectively, 457, the same relation holds for obtuse angles. Hence : The sum of the squares of the sine and cosine of an (oblique) angle is equal to unity. 459. EXERCISES 1. Given A an acute angle and sin A = f ; find cos...
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Pure Mathematics: Trigonometry, Book 2

Anthony Nicolaides - Mathematics - 1995 - 320 pages
...TRIGONOMETRIC FUNCTIONS AND THEIR APPLICATIONS I sin2 x + cos2 x = I ... (I) This expression states that the sum of the squares of the sine and cosine of an angle is identically equal to unity. 1dentically equal means that it is true for any value of л ,...
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Technical Math Demystified

Stan Gibilisco - Mathematics - 2006 - 412 pages
...less than 360 (2n rad). CHAPTER 11 Trigonometric Functions PYTHAGOREAN THEOREM FOR SINE AND COSINE The sum of the squares of the sine and cosine of an angle is always equal to 1 . The following formula holds: sin2 9 + cos2 9= 1 A NOTE ABOUT EXPONENTS...
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