A Treatise on Plane and Spherical Trigonometry: And Its Applications to Astronomy and Geodesy with Numerous ExamplesD.C. Heath & Company, 1892 - 368 páginas |
Dentro del libro
Resultados 1-5 de 49
Página 7
... Hence , when an angle is referred to , п is a very convenient abbreviation for two right angles . So also the angle a or ' means ' a radians or 0 radians . ' The units in the three systems , when expressed in terms of one common ...
... Hence , when an angle is referred to , п is a very convenient abbreviation for two right angles . So also the angle a or ' means ' a radians or 0 radians . ' The units in the three systems , when expressed in terms of one common ...
Página 15
... hence calculate to four decimal places the numerical value of the ratio of the circumference of a circle to its diameter . Ans . 3.1416 . 50. Find the number of radians in 10 " correct to four sig- nificant figures ( use for π ) . Ans ...
... hence calculate to four decimal places the numerical value of the ratio of the circumference of a circle to its diameter . Ans . 3.1416 . 50. Find the number of radians in 10 " correct to four sig- nificant figures ( use for π ) . Ans ...
Página 24
... Hence in the first quadrant all the func- tions are positive . II . When A lies in the 2d quadrant , as the obtuse angle AOP , MP is positive because measured from M upwards , OM is negative because measured from O towards the left ...
... Hence in the first quadrant all the func- tions are positive . II . When A lies in the 2d quadrant , as the obtuse angle AOP , MP is positive because measured from M upwards , OM is negative because measured from O towards the left ...
Página 25
... Hence in the third quadrant the sine , cosine , secant , and cosecant , are negative , but the tangent and cotangent are positive . IV . When A lies in the 4th quadrant , as the reflex angle AOP , MP is negative , OM is positive , and ...
... Hence in the third quadrant the sine , cosine , secant , and cosecant , are negative , but the tangent and cotangent are positive . IV . When A lies in the 4th quadrant , as the reflex angle AOP , MP is negative , OM is positive , and ...
Página 26
... Hence in the 1st quadrant sin A is positive , and increases from 0 to 1 . As A increases from 90 ° to 180 ° , MP decreases from OP to zero , and is positive ; therefore sin 180 ° = 0 . Hence in the 2d quadrant sin A is positive , and ...
... Hence in the 1st quadrant sin A is positive , and increases from 0 to 1 . As A increases from 90 ° to 180 ° , MP decreases from OP to zero , and is positive ; therefore sin 180 ° = 0 . Hence in the 2d quadrant sin A is positive , and ...
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Otras ediciones - Ver todas
A Treatise on Plane and Spherical Trigonometry: And Its Applications to ... Edward Albert Bowser Sin vista previa disponible - 2013 |
Términos y frases comunes
algebraically angle AOP angle of elevation base calculate centre circle circular measure common logarithms cos b cos cos² cosec cotangent decimal places denote diff equal equations EXAMPLES expression feet find log find the angle find the height find the number formulæ Given log Hence horizon hypotenuse integer log cot log sin log sine mantissa Multiply negative number whose logarithm observed obtained opposite perpendicular plane polar triangle positive Prove the following quadrant R₁ r₂ radian radius right angles right triangle sec² secant sides Similarly sin a cos sin B sin sin x sin² sin³ sines and cosines sinx siny solution Solve spherical triangle subtends table of logarithms table of natural tan² tangent triangle ABC trigonometric functions vertical yards ОР
Pasajes populares
Página 148 - In any triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these two sides and the cosine of their included angle.
Página 147 - Law of Sines. — In any triangle the sides are proportional to the sines of the opposite angles.
Página 278 - AB'C, we have by (4) cos a' — cos b cos c' + sin b sin c' cos B'AC, or cos(тг— a) = cos b cos(тг— c) + sin b sin(тт — C)COS(тг —A). .-. cos a = cos b cos с + sin b sin с cos A.
Página 278 - ... cos a = cos b cos с + sin b sin с cos A ; (2) cos b = cos a cos с + sin a sin с cos в ; ^ A. (3) cos с = cos a cos b + sin a sin b cos C.
Página 278 - A cos 6 = cos a cos c + sin a sin c cos B cos c = cos a cos 6 + sin a sin 6 cos C Law of Cosines for Angles cos A = — cos B...
Página 6 - Radian is the angle subtended, at the centre of a circle, by an arc equal in length to the radius...
Página 17 - If the cosine of A be subtracted from unity, the remainder is called the versed sine of A. If the sine of A be...
Página 89 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 149 - In every plane triangle, the sum of two sides is to their difference as the tangent of half the sum of the angles opposite those sides is to the tangent of half their difference.