Plane Trigonometry and TablesGinn, 1914 - 314 páginas |
Dentro del libro
Resultados 1-5 de 42
Página 4
... sine A = 1 cos A , and the coversed sine A = 1 sin A. These defini- tions need not be learned at this time , since they will be given again when the functions are met later in the work . - - Exercise 1. The Six Functions b 1. In the ...
... sine A = 1 cos A , and the coversed sine A = 1 sin A. These defini- tions need not be learned at this time , since they will be given again when the functions are met later in the work . - - Exercise 1. The Six Functions b 1. In the ...
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 ' ) = csc 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 ' ) = csc 7 ° 30 ' , and so on . - Therefore , any ...
Página 8
... sine and cosine of 30 ° , 45 ° , and 60 ° are easily remembered , thus : sin 30 ° = √1 , cos 30 ° = √3 , sin 45 ° = cos 45 ° = √2 , sin 60 ° = √3 ; - √2 , cos 60 ° = √1 . The functions of other angles are not so easily computed ...
... sine and cosine of 30 ° , 45 ° , and 60 ° are easily remembered , thus : sin 30 ° = √1 , cos 30 ° = √3 , sin 45 ° = cos 45 ° = √2 , sin 60 ° = √3 ; - √2 , cos 60 ° = √1 . The functions of other angles are not so easily computed ...
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 , sin A 1 1 = cos A = 9 tan A = CSC A sec A 1 cot A 1 1 1 = sec A = " COS A cot 4 = tan 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 , sin A 1 1 = cos A = 9 tan A = CSC A sec A 1 cot A 1 1 1 = sec A = " COS A cot 4 = tan A ...
Página 13
... sine , cosine , or tangent , given the other two . Furthermore , from the same equation a2 + b2 = c2 we see that Real a2 c2 1+ = • Hence we see that b2 b2 51 + tan A = sec2A . b2 c2 In a similar manner we may prove that 1+ = whence we ...
... sine , cosine , or tangent , given the other two . Furthermore , from the same equation a2 + b2 = c2 we see that Real a2 c2 1+ = • Hence we see that b2 b2 51 + tan A = sec2A . b2 c2 In a similar manner we may prove that 1+ = whence we ...
Otras ediciones - Ver todas
Términos y frases comunes
9 log absolute value acute angle angle of depression angle of elevation antilogarithm base characteristic circle colog cologarithm computation cos(x cos² cos²x cosecant cosine cot log cotangent cotx decimal places degree diameter divided equation example Exercise Find log Find the antilogarithm Find the area Find the distance Find the height Find the length Find the number Find the value formula given number given the following graph Hence horizontal hypotenuse included angle integers interpolation isosceles triangle Law of Cosines Law of Sines Law of Tangents log cos log log cot 9 log sin log logarithm longitude mantissa multiply negative plane polygon positive quadrant radians radius right triangle roots secant secx sexagesimal ship sails sin log cos sin(x sin² sin²x Solve subtends subtract tabular difference tangent triangle ABC trigonometry whence
Pasajes populares
Página 99 - EXERCI8E XII. 1. What do the formulas of § 36 become when one of the angles is a right angle ? 2. Prove by means of the Law of Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Página 43 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.
Página 43 - 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 98 - The sides of a triangle are proportional to the sines of the opposite angles.
Página 47 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 141 - 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).
Página 41 - The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers.
Página 118 - I label the two new points e and /." FIG. 2 With the help of this figure he then proceeds to the usual proof of the theorem that the area of a parallelogram is equal to the product of the base by the altitude, establishing the equality of certain lines and angles and the congruence of the pair of triangles.
Página 59 - From the top of a hill the angles of depression of two objects situated in the...
Página 21 - The logarithm of the reciprocal of a number is called the Cologarithm of the number.