Plane and Spherical Trigonometry |
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Page v
... acute angle ; not first defined for acute angles , then for obtuse angles , and then for general angles . To do this , use is made of Cartesian coördinates , which are now almost universally taught in elementary algebra ( 3 ) The ...
... acute angle ; not first defined for acute angles , then for obtuse angles , and then for general angles . To do this , use is made of Cartesian coördinates , which are now almost universally taught in elementary algebra ( 3 ) The ...
Page 16
... acute angles at random , with their vertices at the origin and their initial sides on the positive part of the x - axis . Choose a point in the terminal side of each angle , draw and measure its coördinates , and calculate the ...
... acute angles at random , with their vertices at the origin and their initial sides on the positive part of the x - axis . Choose a point in the terminal side of each angle , draw and measure its coördinates , and calculate the ...
Page 20
... acute angle , to construct the Given sine . Construct the angle angle . Example 1 . ― and find the other functions . Solution . By definition sin 0 = y 4 = r 5 . Since we are con- cerned only with the ratios of the lines , we may take y ...
... acute angle , to construct the Given sine . Construct the angle angle . Example 1 . ― and find the other functions . Solution . By definition sin 0 = y 4 = r 5 . Since we are con- cerned only with the ratios of the lines , we may take y ...
Page 21
... acute angle . Ans . 15 . 10. Find the value of angle . 11. Find the TRIGONOMETRIC FUNCTIONS OF ONE ANGLE 21.
... acute angle . Ans . 15 . 10. Find the value of angle . 11. Find the TRIGONOMETRIC FUNCTIONS OF ONE ANGLE 21.
Page 22
... acute 10 angle . Y B Ans . . 18. Trigonometric functions applied to right triangles . When the angle is acute , the abscissa , ordinate , and distance for any point in the terminal side , form a right triangle , in which the given angle ...
... acute 10 angle . Y B Ans . . 18. Trigonometric functions applied to right triangles . When the angle is acute , the abscissa , ordinate , and distance for any point in the terminal side , form a right triangle , in which the given angle ...
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Common terms and phrases
9 Prop acute angle amplitude base cd log cot circle co-a co-c co-ẞ colog cologarithm complex number Computation coördinates cos(a cos¹ cos² cos³ cosh cosine cot cd log cotangent cpl log d log tan distance equal equation Example EXERCISES Express figures Find the logarithm find the mantissa Find the number Find the value formulas Given horizontal hyperbolic functions imaginary unit included angle interpolating log cot cd log cot log log tan cd log tan log loga Mant mantissa miles modulus multiples Napier's rules negative nth root number corresponding plane polar triangle positive Prove radians radius right spherical triangle right triangle root sec² sin a sin sin ẞ sin² sine sinh Solution Solve sphere Spherical Trigonometry Subtracting tabular difference tan-¹ tan² tangent terminal side theorem trigonometric functions z₁ απ
Popular passages
Page 2 - Every circumference of a. circle, whether the circle be large or small, is supposed to be divided into 360 equal parts called degrees. Each degree is divided into 60 equal parts called minutes, and each minute into 60 equal parts called seconds.
Page 139 - The cube root of a number is one of the three equal factors of the number. Thus the cube...
Page 13 - To Divide One Number by Another, Subtract the logarithm of the divisor from the logarithm of the dividend, and obtain the antilogarithm of the difference.
Page 101 - Law of Sines — In any triangle, the sides are proportional to the sines of the opposite angles. That is, sin A = sin B...
Page 6 - When the number is greater than 1, the characteristic is positive, and is one less than the number of digits to the left of the decimal point...
Page 15 - To find any power of a given number, multiply the logarithm of the number by the exponent of the power. The product is the logarithm of the power.
Page 110 - 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.
Page 4 - In it the right angle is divided into 100 equal parts called grades, the grade into 100 equal parts called minutes, and the minute into 100 equal parts called seconds.
Page 161 - Spherical Triangle the cosine of any side is equal to the product of the cosines of the other two sides...
Page 14 - The logarithm of the reciprocal of a number is called the Cologarithm of the number.