A Collection of Problems and Examples Adapted to the "Elementary Course of Mathematics.": With an Appendix Containing the Questions Proposed During the First Three Days of the Senate-House Examinations in the Years 1848, 1849, 1850, and 1851J. Deighton, 1851 - 173 páginas |
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Página 46
... angles the tangent of which is tan 0 . 5 . - Write down a formula for all angles the cosine of which is 1 . = 6. Express ... angle of 36 ° 7 ′ ? 13. Determine the number of degrees into which the right Problems and Examples in Algebra ...
... angles the tangent of which is tan 0 . 5 . - Write down a formula for all angles the cosine of which is 1 . = 6. Express ... angle of 36 ° 7 ′ ? 13. Determine the number of degrees into which the right Problems and Examples in Algebra ...
Página 47
... angle must be divided in order that an angle of 30o may be measured by the number 40 . 14. Shew that as the angle increases each of the trigonometrical functions changes sign whenever it passes through the value 0 or ∞o , and for no ...
... angle must be divided in order that an angle of 30o may be measured by the number 40 . 14. Shew that as the angle increases each of the trigonometrical functions changes sign whenever it passes through the value 0 or ∞o , and for no ...
Página 48
... ANGLE . 1 . Prove the following formulæ : Ꮎ 2 tan 2 sin = Ꮎ tan 1 + tan2 = cot 0 - 2 cot 20 , sin 0 + cos 0 = √1 + sin 20 , cosec 20+ cot 20 = cot 0 , cot + tan = 2 cosec 20 , = sec e cosec 0 , 2 cosec 20 sec ( 0 ± p ) = sec 0 sec o ...
... ANGLE . 1 . Prove the following formulæ : Ꮎ 2 tan 2 sin = Ꮎ tan 1 + tan2 = cot 0 - 2 cot 20 , sin 0 + cos 0 = √1 + sin 20 , cosec 20+ cot 20 = cot 0 , cot + tan = 2 cosec 20 , = sec e cosec 0 , 2 cosec 20 sec ( 0 ± p ) = sec 0 sec o ...
Página 50
... 20 , find the value of chd 0 . 5. If A , B , C , be three angles the values of which form an arithmetical progression , then sin A - sin C : cos C - cos A :: cos B : sin B. - α 6 . If tan = tan3 , and tan 50 TRIGONOMETRY .
... 20 , find the value of chd 0 . 5. If A , B , C , be three angles the values of which form an arithmetical progression , then sin A - sin C : cos C - cos A :: cos B : sin B. - α 6 . If tan = tan3 , and tan 50 TRIGONOMETRY .
Página 54
... angles . 7 * . In the triangle ABC , BC = 236 feet , angle ABC = 26 ° 30 ′ , and angle ACB = 47 ° 15 ′ , find the remaining sides . 8. In the triangle ABC , = AC 5780 feet , AB 7639 feet , and angle ABC = Find the remaining side and angles ...
... angles . 7 * . In the triangle ABC , BC = 236 feet , angle ABC = 26 ° 30 ′ , and angle ACB = 47 ° 15 ′ , find the remaining sides . 8. In the triangle ABC , = AC 5780 feet , AB 7639 feet , and angle ABC = Find the remaining side and angles ...
Otras ediciones - Ver todas
A Collection of Problems and Examples, Adapted to the Elementary Course of ... Harvey Goodwin Sin vista previa disponible - 2019 |
A Collection of Problems and Examples Adapted to the 'Elementary Course of ... Harvey. Goodwin Sin vista previa disponible - 2015 |
A Collection of Problems and Examples, Adapted to the 'Elementary Course of ... Harvey Goodwin Sin vista previa disponible - 2010 |
Términos y frases comunes
angular points arithmetical arithmetical mean arithmetical series axis base bisects centre of gravity chord circle concave convex lens cos² cosec curve cylinder Describe determine diameter direction distance Divide drawn elastic balls ellipse equal equation equilibrium feet find the height Find the number find the position Find the velocity fluid focal length force geometrical focus geometrical progression geometrical series given point given velocity given weight horizontal plane hyperbola immersed inches incident inclined plane inscribed latus rectum luminous point mirror motion moving Multiply observed parabola parallel parallelogram pencil of rays perpendicular placed pressure proportional prove pullies quantities radii radius ratio reflexion refracted respectively right angle shew sides sin² specific gravity sphere spherical square St John's College straight line string passing Subtract surface tangent tower triangle vertex
Pasajes populares
Página 111 - If two triangles have two sides of the one equal to two sides of the...
Página 128 - To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts, shall be equal to the square of the other part.
Página 111 - If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.
Página 112 - EQUAL straight lines in a circle are equally distant from the centre ; and those which are equally distant from the centre, are equal to one another.
Página 144 - ... a circle. The angle in a semicircle is a right angle: the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Página 160 - Triangles upon equal bases, and between the same parallels, are equal to one another.
Página 112 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Página 160 - In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle.