Plane and Spherical TrigonometryGinn, 1915 - 230 páginas |
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Página 4
... sine of 4 , written sin A ; is called the cosine of A , written cos A ; is called the tangent of A , written tan A ... sine A = 1− cos A , and the coversed sine 4 = 1 - sin A. These defini- tions need not be learned at this time , since ...
... sine of 4 , written sin A ; is called the cosine of A , written cos A ; is called the tangent of A , written tan A ... sine A = 1− cos A , and the coversed sine 4 = 1 - sin A. These defini- tions need not be learned at this time , since ...
Página 7
... sine means complement's sine , and similarly for the other co - functions . It is therefore seen that sin 75 ° cos ( 90 ° 75 ° ) = cos 15 ° , sec 82 ° 30 ′ csc ( 90 ° — 82 ° 30 ′ ) = esc 7 ° 30 ′ , and so on . = == Therefore , any ...
... sine means complement's sine , and similarly for the other co - functions . It is therefore seen that sin 75 ° cos ( 90 ° 75 ° ) = cos 15 ° , sec 82 ° 30 ′ csc ( 90 ° — 82 ° 30 ′ ) = esc 7 ° 30 ′ , and so on . = == Therefore , any ...
Página 8
... sine and cosine of 30 ° , 45 ° , and 60 ° are easily remembered , thus : sin 30 ° = cos 30 ° = { v cos 45 ° sin 45 ° = ↓ √2 , √2 , sin 60 ° = ¦ √3 ; cos 60 ° = ¦ √1 . The functions of other angles are not so easily computed . The ...
... sine and cosine of 30 ° , 45 ° , and 60 ° are easily remembered , thus : sin 30 ° = cos 30 ° = { v cos 45 ° sin 45 ° = ↓ √2 , √2 , sin 60 ° = ¦ √3 ; cos 60 ° = ¦ √1 . The functions of other angles are not so easily computed . The ...
Página 12
... sine is the reciprocal of the cosecant , the cosine is the reciprocal of the secant , and the tangent is the reciprocal of the cotangent . That is , 1 1 1 sin A = cos A = " tan A = " csc A sec A cot A 1 1 1 csc A = " sec A = = " cot A ...
... sine is the reciprocal of the cosecant , the cosine is the reciprocal of the secant , and the tangent is the reciprocal of the cotangent . That is , 1 1 1 sin A = cos A = " tan A = " csc A sec A cot A 1 1 1 csc A = " sec A = = " cot A ...
Página 13
... sine , cosine , or tangent , given the other two . Furthermore , from the same equation a2 + b2 = c2 we see that a2 c2 1+ = b2 Hence we see that 1 + tan'A sec2A . In a similar manner we may prove that 1+ have the formula 1+ cot2A ...
... sine , cosine , or tangent , given the other two . Furthermore , from the same equation a2 + b2 = c2 we see that a2 c2 1+ = b2 Hence we see that 1 + tan'A sec2A . In a similar manner we may prove that 1+ have the formula 1+ cot2A ...
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Plane and Spherical Trigonometry, and Surveying G. A. (George Albert) 1835-1 Wentworth Sin vista previa disponible - 2015 |
Términos y frases comunes
9 log acute angle angle of depression angle of elevation characteristic circle colog cologarithm computation cos(x cos² cos²x cosecant cot log cotangent cotx decimal places degrees Dividing equal equation example Exercise Find log Find the area Find the distance Find the height Find the length Find the value given the following graph Hence horizontal hypotenuse included angle interpolation latitude Law of Cosines Law of Sines Law of Tangents log cos log log cot 9 log sin log logarithm longitude mantissa negative perpendicular polygon positive quadrant radians radius right angle right spherical triangle right triangle roots secant secx sexagesimal ship sails sides sin B sin sin log cos sin(x sin² solution solve the triangle spherical triangle subtends subtract tabular difference tangent triangle ABC whence
Pasajes populares
Página 109 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Página 98 - I sin y \2 / \2 / = sin x cos y + cos x sin y, sin (a; — y) = sin (x + (— y)) = sin a; cos (— y) + cos a; sin (— y) = sin x cos y — cos x sin y, tan (x + y) = sin (x + y) sin x cos y + cos x...
Página 52 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.
Página 44 - If the number is less than 1, make the characteristic of the logarithm negative, and one unit more than the number of zeros between the decimal point and the first significant figure of the given number.
Página 50 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Página 57 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 116 - In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other...
Página 112 - Two sides of a triangle, and the angle opposite one of them, being given, to describe the triangle. Let A and B be the given sides, and C the given angle.
Página 128 - Prove that the area of a parallelogram is equal to the product of the base, the diagonal, and the sine of the angle included by them.
Página 151 - Equation 3, we see that an angle of 1 rad is the angle subtended at the center of a circle by an arc equal in length to the radius of the circle (see Figure 2).