Elementary TrigonometryMacmillan and Company, 1893 - 404 páginas |
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Página 46
... lies in a certain direction with respect to A , it is said to bear in that direction from A ; thus Birmingham bears N.W. of London , and from Birmingham the bearing of London is S.E. Example 1. From a lighthouse L two ships A and B are ...
... lies in a certain direction with respect to A , it is said to bear in that direction from A ; thus Birmingham bears N.W. of London , and from Birmingham the bearing of London is S.E. Example 1. From a lighthouse L two ships A and B are ...
Página 47
... lies N.W .: how far was he from the objects at first ? 2. Sailing due E. I observe two ships lying at anchor due S .; after sailing 3 miles the ships bear 60 ° and 30 ° S. of W .; how far are they now distant from me ? 3. Two vessels ...
... lies N.W .: how far was he from the objects at first ? 2. Sailing due E. I observe two ships lying at anchor due S .; after sailing 3 miles the ships bear 60 ° and 30 ° S. of W .; how far are they now distant from me ? 3. Two vessels ...
Página 59
... lie . Let O be the centre , and denote the radius by r inches . Now but arc PQ radius = number of radians in △ POQ ; - arc PQ - 1 inch , and △ POQ = 1 ° 10 ' ; whence 1 number of radians in 14 ° П 7 22 1 11 = 11 × 180 X X = 6 7 180 ...
... lie . Let O be the centre , and denote the radius by r inches . Now but arc PQ radius = number of radians in △ POQ ; - arc PQ - 1 inch , and △ POQ = 1 ° 10 ' ; whence 1 number of radians in 14 ° П 7 22 1 11 = 11 × 180 X X = 6 7 180 ...
Página 69
... lies after describing the following angles : 1. 135 ° . 2. 265 ° . 3. -315 ° . 4 . - 120 ° . 2π 5п 10π 11π 5 . 6 . 7 . 8 . 3 6 3 4 For each of the following angles state which of the three principal trigonometrical functions are ...
... lies after describing the following angles : 1. 135 ° . 2. 265 ° . 3. -315 ° . 4 . - 120 ° . 2π 5п 10π 11π 5 . 6 . 7 . 8 . 3 6 3 4 For each of the following angles state which of the three principal trigonometrical functions are ...
Página 71
... lies . NOTE . OM2 is positive , although the line OM in the figure is negative . 81. In the statement cos A = √√ / 1 - sin2 A , either the positive or the negative sign may be placed before the radical . The sign of the radical ...
... lies . NOTE . OM2 is positive , although the line OM in the figure is negative . 81. In the statement cos A = √√ / 1 - sin2 A , either the positive or the negative sign may be placed before the radical . The sign of the radical ...
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1+cos 1+tan² a+cos A+tan acute angle angle of elevation B+cos centre circle College cos² cos³ cosec cosine cot² cyclic quadrilateral decimal denote diff equal equation ex-central triangle Example expression Fcap feet Find the angle find the distance find the height Find the number Find the value flagstaff following identities formula given log greatest angle Hence horizontal plane hypotenuse inscribed LAOB loga logarithm magnitude miles negative number of radians observer pedal triangle perpendicular polygon positive Prof Prove the following quadrant quadrilateral radian measure radius vector regular polygon right angle right-angled triangle sec² sexagesimal shew sides sin sin sin sin² sin³ sine solution solve the triangle subtends an angle supplementary angles tan² tangent tower triangle ABC trigono trigonometrical functions trigonometrical ratios π π
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