A Treatise on Elementary TrigonometryMacmillan & Company, 1885 - 274 sider |
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Side 72
... equation x2 = 1 - s2 , gives x = and therefore the ambiguity ( ± ) must stand before each of the root symbols in the above . This ambiguity , as will be explained later on , is of great use when the magnitude of the angle is not limited ...
... equation x2 = 1 - s2 , gives x = and therefore the ambiguity ( ± ) must stand before each of the root symbols in the above . This ambiguity , as will be explained later on , is of great use when the magnitude of the angle is not limited ...
Side 75
... = b , prove that ( 1 - a2 ) ( 1 + b2 ) = 1 . ( 11 ) If cos 0 = h , and tan 0 = k , find the equation connecting h and k . 114. The following examples are important . Example 1. To TRIGONOMETRICAL RATIOS OF THE SAME ANGLE . 75.
... = b , prove that ( 1 - a2 ) ( 1 + b2 ) = 1 . ( 11 ) If cos 0 = h , and tan 0 = k , find the equation connecting h and k . 114. The following examples are important . Example 1. To TRIGONOMETRICAL RATIOS OF THE SAME ANGLE . 75.
Side 79
... equation tan x = a can always be solved if a be any arithmetical quantity ] . Example 1. To draw an angle A whose sine is 3 . Draw any line OR , and take R such that the measure of OR is unity ; describe the quadrant RPU of the circle ...
... equation tan x = a can always be solved if a be any arithmetical quantity ] . Example 1. To draw an angle A whose sine is 3 . Draw any line OR , and take R such that the measure of OR is unity ; describe the quadrant RPU of the circle ...
Side 82
... equation is an equation in which there is a letter , such as 0 , which stands for an angle of unknown magnitude , The solution of the equation is the process of finding an angle which , if it be substituted for 0 , satisfies the ...
... equation is an equation in which there is a letter , such as 0 , which stands for an angle of unknown magnitude , The solution of the equation is the process of finding an angle which , if it be substituted for 0 , satisfies the ...
Side 83
... equation . To solve it we must find some angle such that its cosine is We know that cos 60o = . Therefore if 60 ° be put for the equation is satisfied , .. 0 = 60o is ... equation cosec – cot2 + 6-2 SOLUTION OF TRIGONOMETRICAL EQUATIONS . 83.
... equation . To solve it we must find some angle such that its cosine is We know that cos 60o = . Therefore if 60 ° be put for the equation is satisfied , .. 0 = 60o is ... equation cosec – cot2 + 6-2 SOLUTION OF TRIGONOMETRICAL EQUATIONS . 83.
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algebraical angle of elevation angle ROP ARITHMETIC Assistant-Master base BOOK Cambridge centre circle circular measure circumference Clifton College common logarithms cos² cos³ cosec cosine Crown 8vo decimal diameter Draw PM Edited by Rev ELEMENTARY TREATISE English equal equation Eton College Example Express Extra fcap feet Fellow of St Fellow of Trinity Find the angle Find the number formulæ fraction GEOMETRY Globe 8vo grades GRAMMAR Greek Hence HISTORY hypotenuse inscribed Introduction and Notes J. P. MAHAFFY John's College late Fellow LATIN length LL.D logarithms magnitude Mathematics miles negative numerous Illustrations observed Owens College Oxford perimeter perpendicular positive PRIMER Professor prove Quadrant radians radius regular polygon revolving line right angle School sides significant figures sin² sin³ sine student subtends tangent tower triangle ABC Trigonometrical Ratios Trinity College University yards
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