Military examinations. Mathematical examination papers, set at entrance to the Royal military college, Sandhurst, with answers, by W.F. Austin |
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Αποτελέσματα 1 - 5 από τα 9.
Σελίδα 5
... tangent and cotangent of an angle . Express the values of cot 90 ° , tan 180 ° , tan 270 ° . Show that the tangent of any angle will have the same sign as its cotangent . Prove tan 45 ° = 1 and sec 45 ° 11 √2 . 12. Prove by means of a ...
... tangent and cotangent of an angle . Express the values of cot 90 ° , tan 180 ° , tan 270 ° . Show that the tangent of any angle will have the same sign as its cotangent . Prove tan 45 ° = 1 and sec 45 ° 11 √2 . 12. Prove by means of a ...
Σελίδα 8
... rule for finding its value adapted to the other measure . Express in foreign measure each angle of the isosceles triangle described in Euclid's 10th proposition , Book IV . 9. Show how to express the cosine , tangent , ( 8 )
... rule for finding its value adapted to the other measure . Express in foreign measure each angle of the isosceles triangle described in Euclid's 10th proposition , Book IV . 9. Show how to express the cosine , tangent , ( 8 )
Σελίδα 9
... tangent , and secant of an angle in 3 terms of the sine . The sine of an angle less than 90 ° is find 5 ' cosine , tangent , and secant . 10. Investigate the formula for sin ( A - B ) in terms of the sines and cosines of ( A ) and ( B ) ...
... tangent , and secant of an angle in 3 terms of the sine . The sine of an angle less than 90 ° is find 5 ' cosine , tangent , and secant . 10. Investigate the formula for sin ( A - B ) in terms of the sines and cosines of ( A ) and ( B ) ...
Σελίδα 13
... tangent of an angle , express in terms of it the other trigonometrical ratios of the angle . 9. Establish the formulæ ( 1. ) cos A – cos B = 2 sin + sin A + B 2 ( 2. ) cos 3A = 4 cos 3A - 3 cos A ; B - A ; 2 and employ ( 2 ) to obtain ...
... tangent of an angle , express in terms of it the other trigonometrical ratios of the angle . 9. Establish the formulæ ( 1. ) cos A – cos B = 2 sin + sin A + B 2 ( 2. ) cos 3A = 4 cos 3A - 3 cos A ; B - A ; 2 and employ ( 2 ) to obtain ...
Σελίδα 16
... tangent meeting the other chord ( produced , if necessary ) , then will the two chords , and the segment intercepted between the parallels , be proportional . 9. Trace the changes of sign of sin 0 , as increases through four right ...
... tangent meeting the other chord ( produced , if necessary ) , then will the two chords , and the segment intercepted between the parallels , be proportional . 9. Trace the changes of sign of sin 0 , as increases through four right ...
Άλλες εκδόσεις - Προβολή όλων
Military Examinations. Mathematical Examination Papers, Set at Entrance to ... Sandhurst Roy Military Coll Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Military Examinations. Mathematical Examination Papers, Set At Entrance To ... Sandhurst Roy Military Coll Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
Military Examinations. Mathematical Examination Papers, Set At Entrance To ... Sandhurst Roy Military Coll Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
Συχνά εμφανιζόμενοι όροι και φράσεις
a+b+c acres algebraical quantities altitude base bisected centre chains circle are equal circular measure circumference circumscribing circle cosec cubic feet cubic foot cuts the circle Describe a circle digits equilateral and equiangular equilateral triangle express Extract the square Find the area find the logarithms find the number Find the value formula fraction given circle given log given points given straight line given triangle half the line included angle isosceles triangle least common multiple line be divided logarithms magnitudes MATHEMATICS miles number of cubic obtuse angle parallelograms Prove that log prove the rule pyramid quadratic surd radius ratio rectangle contained rectilineal figure recurring decimal regular polygon rhombus right angle segment semicircle Solve the equations square numbers square of half square root subtending tan-¹ tan² tangent twice the rectangle weighs whole line whole number yards
Δημοφιλή αποσπάσματα
Σελίδα 44 - Radian is the angle subtended, at the centre of a circle, by an arc equal in length to the radius...
Σελίδα 24 - If from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, is equal to the square of the line which touches it.
Σελίδα 36 - 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.
Σελίδα 12 - Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides.
Σελίδα 2 - 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 of the line between the points of section, is equal to the square of half the line.
Σελίδα 36 - 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.
Σελίδα 36 - IN a right-angled triangle, if a perpendicular be drawn from the right angle to the base, the triangles on each side of it are similar to the whole triangle, and to one another.
Σελίδα 44 - ... cuts the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments of the base, together with the square on the straight line which bisects the angle.
Σελίδα 2 - ... the side subtending the obtuse angle, is greater than the squares of the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse...
Σελίδα 2 - 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.