 | Adrien Marie Legendre - Geometry - 1838 - 382 pages
...perpendicular is equal to the hypothenuse multiplied by the sine of the angle• at the base ; and the base is equal to the hypothenuse multiplied by the cosine of the angle at the base ; the radius being equal to unity. THEOREM II. In every right angled triangle, radius is... | |
 | John Hymers - Logarithms - 1858 - 324 pages
...depends. 89. In a right-angled triangle, the side opposite to an acute angle is equal to the bypothenuse multiplied by the sine of the angle ; and the side...and the side b adjacent, , a . sin A — — , .'. a = c sin A, с cos A = — , .'. b = с cos A. с In a right-angled triangle, the side opposite to an... | |
 | John Hymers - Logarithms - 1858 - 292 pages
...triangle, the side opposite to an acute angle is equal to the other side multiplied by the tangent of the angle ; and the side adjacent to an acute angle is equal to the other side multiplied by the cotangent of the angle. For tan A = т , •'• a = Ъ tan A, cot A =... | |
 | Benjamin Greenleaf - Geometry - 1862 - 518 pages
...right-angled triangle, the side opposite to an acute angle is equal to the product of the hypothenuse into the sine of the angle ; and the side adjacent to an acute angle is equal to the product of the hypothenuse into the cosine of the angle. Let ABC be a triangle having a right angle... | |
 | Benjamin Greenleaf - Geometry - 1861 - 638 pages
...right-angled triangle, the side opposite to an acute angle is equal to the product of the hypothenuse into the sine of the angle ; and the side adjacent to an acute angle is equal to the product of the hypothenuse into the cosine of the angle. Let ABO be a triangle having a right /^"^... | |
 | Benjamin Greenleaf - Geometry - 1863 - 504 pages
...right-angled triangle, the side opposite to an acute angle is equal to the product of the l1ypothenuse into the sine of the angle ; and the side adjacent to an acute angle is equal to the product of the hypothenuse into the cosine of the angle. Let ABC be a. triangle having a right XJB... | |
 | Lefébure de Fourcy (M., Louis Etienne) - Trigonometry - 1868 - 350 pages
...sin B = cos C, and we conclude, that in every right-angled plane triangle, each side about the right angle is equal to the hypothenuse multiplied by the cosine of the adjacent angle. 118. Theorem II. In every right-angled plane triangle, each side about the right angle... | |
 | Benjamin Greenleaf - 1869 - 516 pages
...the side opposite to an acute angle is equal to the product of the hypothenuse into the sine of thc angle ; and the side adjacent to an acute angle is equal to the product of the hypothenuse into the cosine of the angle. Let ABC be a triangle having a right angle... | |
 | Benjamin Greenleaf - Trigonometry - 1876 - 204 pages
...right-angled triangle, the side opposite to an acute angle is equal to the product of the hypothenuse into the sine of the angle ; and the side adjacent to an acute angle is equal to the product of t he hypothenuse into the cosine of the angle. Let ABG be a triangle having à right angle... | |
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... these elements must be given, one of which must be a side, in order to solve a plane triangle. The solution of plane triangles depends upon the following FUNDAMENTAL PROPOSITIONS. 109. In a right-angled triangle, the side opposite to an acute angle... 