Trigonometry for BeginnersMacmillan, 1896 - 147 páginas |
Dentro del libro
Resultados 1-5 de 7
Página 6
... minutes . Thus an angle might be recorded as containing 79 degrees +18 minutes +36.4 seconds . Degrees , minutes , and seconds are indicated respectively by the symbols " , and the above angle would be written 79 ° 18 ′ 36.4 " . O " 14 ...
... minutes . Thus an angle might be recorded as containing 79 degrees +18 minutes +36.4 seconds . Degrees , minutes , and seconds are indicated respectively by the symbols " , and the above angle would be written 79 ° 18 ′ 36.4 " . O " 14 ...
Página 9
... minutes , and seconds : 7. .01375 right angles . 8 . .0875 right angles . 9. 1.704535 right angles . 10. .240025 right angles . 11. .180115 right angles . 12. .35 right angles . / II . Express the following angles in rectangular measure ...
... minutes , and seconds : 7. .01375 right angles . 8 . .0875 right angles . 9. 1.704535 right angles . 10. .240025 right angles . 11. .180115 right angles . 12. .35 right angles . / II . Express the following angles in rectangular measure ...
Página 10
... minute ? 9. Find approximately the number of seconds contained in the angle which subtends an arc one mile in length at the centre of a circle whose radius is 4000 miles .. 10. If the radius of a circle be 4000 miles , find the length ...
... minute ? 9. Find approximately the number of seconds contained in the angle which subtends an arc one mile in length at the centre of a circle whose radius is 4000 miles .. 10. If the radius of a circle be 4000 miles , find the length ...
Página 89
... minute from 1 ° to 89 ° . From these we can find the logarithms of the trigo- nometric ratios of any angle , because ( Art . 58 ) the ratios of any angle can be expressed in terms of the ratios of angles of the first quadrant . 134. To ...
... minute from 1 ° to 89 ° . From these we can find the logarithms of the trigo- nometric ratios of any angle , because ( Art . 58 ) the ratios of any angle can be expressed in terms of the ratios of angles of the first quadrant . 134. To ...
Página 106
... minutes after he observes that the elevation is 30 ° ; prove that the height of the balloon above the road is 440 √3 yards . 19. A person standing at a point A , due south of a tower built on a horizon- tal plain , observes the ...
... minutes after he observes that the elevation is 30 ° ; prove that the height of the balloon above the road is 440 √3 yards . 19. A person standing at a point A , due south of a tower built on a horizon- tal plain , observes the ...
Otras ediciones - Ver todas
Términos y frases comunes
angle of elevation angle XOP Asin Atan centre circle circular measure circumference common logarithms cos² cosec cosine cot² cotangent decimal diameter difference distance equal equation EXAMPLE Express find log find the angles find the height find the logarithm Find the number find the sine following angles formulæ fraction Geom geometrical given greatest angle Hence inverse trigonometric functions length less than 90 Let XOP log cot log log tan log magnitude mantissa miles negative number of degrees number whose logarithm observed perpendicular plane positive quadrant radians respectively right angles right triangle right-angled triangle sec² sin B sin sin² sin³ Solve the triangle spherical triangle student subtended tan log sin tan² tangent tower triangle ABC trigonometric functions trigonometrical ratios XOP₁ yards ΙΟ ΙΟΙ
Pasajes populares
Página 85 - FRACTION is a negative number, and is one more than the number of ciphers between the decimal point and the first significant figure.
Página 6 - A radian is an angle at the center of a circle, subtended by an arc equal in length to the radius of the circle.
Página 85 - The characteristic of the logarithm of a number greater than unity is one less than the number of figures in the integral part of the number.
Página 118 - To prove that sin (A - B) = sin A cos B - cos A sin B, and cos (A — £) = cos A cos B + sin A sin B.
Página 25 - At a point 200 feet from, and on a level with the base of a tower, the angle of elevation of the top of the tower is observed to be 60° : what is the height of the tower?
Página 126 - 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 117 - Express in degrees, minutes, etc., (i.) the angle whose circular measure is ^V7'"! (".) t^e angle whose circular measure is 5. If the angle subtended at the centre of a circle by the side of a regular pentagon be the unit of angular measurement, by what number is a right angle represented ? 2. Find, by geometrical constructions, the cosine of 45° and the sine of 120°. Prove that (sin 30° + cos 30°) (sin 120° + cos 120°) = sin 30°. 3. If esc A = 9, find cot A and sec A. 4. Prove that cos (180°...
Página 107 - The elevation of a steeple at a place due south of it is 45°, and at another place due west of it the elevation is 15°. If the distance between the two places be a, prove that the height of the steeple is a( \/3 — 1) -^2\/3.
Página vii - ... are not as many figures in the quotient as there are ciphers annexed to the dividend. In such a case, supply the deficiency, as in the division of decimals, by prefixing a cipher or ciphers to the quotient before annexing.