Plane and Spherical TrigonometryD.C. Heath & Company, 1917 - 313 páginas |
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Página v
... Measurement of angles 6 14. Circular or radian measure 7 15. Value of radian 16. Relation between degree and radian 17. Relation between angle , radius , and arc 18. Linear and angular velocity 19. Examples • 7 7 9 9 10 ART . CHAPTER II ...
... Measurement of angles 6 14. Circular or radian measure 7 15. Value of radian 16. Relation between degree and radian 17. Relation between angle , radius , and arc 18. Linear and angular velocity 19. Examples • 7 7 9 9 10 ART . CHAPTER II ...
Página 1
... measured , it is evident that AC and CA represent the same segment measured in opposite direc- tions ; hence AC = CA or AC = CA. - - Also , if B be a third point on the line , the segments AB and BA are opposite in sign ; likewise the ...
... measured , it is evident that AC and CA represent the same segment measured in opposite direc- tions ; hence AC = CA or AC = CA. - - Also , if B be a third point on the line , the segments AB and BA are opposite in sign ; likewise the ...
Página 3
... measured from the origin to the right , and negative when measured from the origin to the left . Ordinates are positive when measured upward from the X - axis and negative when measured downward . Thus OA , AP1 , and CP , are positive ...
... measured from the origin to the right , and negative when measured from the origin to the left . Ordinates are positive when measured upward from the X - axis and negative when measured downward . Thus OA , AP1 , and CP , are positive ...
Página 5
... measured is the initial line . It usually coincides with that part of the X - axis lying to the right of the origin ... measuring arc , is posi tive ; the terminal line produced , drawn from the origin in the oppo- X site direction , is ...
... measured is the initial line . It usually coincides with that part of the X - axis lying to the right of the origin ... measuring arc , is posi tive ; the terminal line produced , drawn from the origin in the oppo- X site direction , is ...
Página 6
... Measurement of angles . Various units may be em- ployed in the measurement - of angles . In elementary geom- etry the right angle is frequently used . Two other units in common use are the degree and the radian . The degree is generally ...
... Measurement of angles . Various units may be em- ployed in the measurement - of angles . In elementary geom- etry the right angle is frequently used . Two other units in common use are the degree and the radian . The degree is generally ...
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Términos y frases comunes
angle opposite angles of depression colog COMMON LOGARITHMS complex number computed cos a cos cos-¹ cos¹ cos² cos³ cot-¹ cot² cotangent coty csc² cube root decimal point determine difference Equating the real Find the height find the value flagpole four-place tables fundamental relations given angles greater than 90 Hence interpolation inverse function law of cosines law of sines law of tangents less than 180 line values Log Cot log sin ẞ loga logarithms of numbers mantissa Moivre's theorem negative number of degrees quadrant radians roots of unity sec-¹ sec² sides are given Similarly sin a cos sin a sin sin-¹ sin(a+b sin¹ sin² sin³ solution Solve the following spherical right triangle spherical triangle square root ẞ cot tan-¹ tan² tangent terminal line tower trigonometric functions Va² α α απ π π ייד
Pasajes populares
Página 4 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. , M , ,• , . logi — = log
Página 130 - ... 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 4 - The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers.
Página 111 - From the top of a hill the angles of depression of two successive milestones, on a straight level road leading to the hill, are observed to be 5° and 15°.
Página 3 - 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 85 - B is negative, and BD — — a cos B. The substitution of this in (4) leads us again to (3). Thus we see that (3) is true in all cases. THE LAW OF COSINES. The square of any side .of a plane triangle is equal to the sum of the squares of the other two sides minus twice their product times the cosine of the included angle. This may be regarded as a generalization of the Pythagorean Theorem to which it reduces when the included angle is a right angle. These two laws are among the most important of...
Página 2 - If the number is greater than 1, the characteristic is one less than the number of places to the left of the decimal point.
Página 131 - By (150) and (152) we have cos a = cos b cos c -\- sin b sin c cos A, cos c = cos a cos b...
Página 31 - The product of all the lines, that can be drawn from one of the angles of a regular polygon of n sides, inscribed in a circle whose radius is a, to all the other angular points = no.
Página 111 - From the top of a cliff 150 ft. high the angles of depression of the top and bottom of a tower are 30° and 60°, respectively.