Elementary Mathematical Analysis
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In our eReader you can find the full English version of the book. Read Elementary Mathematical Analysis Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Elementary Mathematical Analysis
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To quickly assess the difficulty of the text, read a short excerpt:
90° ; 90° + re ■ ,360°.
20. cos2 9 + 5 sin 9 = 7.
176 MATHEMATICAL ANALYSIS [VI, § 119 21. 4 sin 9 — 8 CSC = 0.
22. 2 sin 6 cos' = sin 0.
23. cos 9 + sec 9 = |.
24. 2 sin 9 = tan 6. Ans. Particular solutions : 0°, 180°, 60°, 300°.
25. 3sin9 + 2cose = 2.
26. 2cos2 e - 1 = 1 - sin2 e .
120. The Trigonometric Functions of — 6. Draw the angles 6 and — 0, where OP is the terminal line of d and OP is the terminal line of — 6. Figure 108 shows an angle in each of 0^ FlQ. 108 'O X V X the four quadrant...s. We shall choose OP = OP' and {x, y) as the coordinates of P and (»', y') as the coordinates of P'. In all four figures x' = x, y' = — y, r' = r.
Hence sin(-e)=^ = ^^ = -sm0, cos (-6) =^ = -=003 6, r r Also, tan (- e) = ^ = -=:i^ = - tan ft x' X csc(— 0)= — cscfl; sec (— 6)= sec0; ctn(— 5) = — ctnft VI, § 121] TRIGONOMETRIC FUNCTIONS 177 121. The Trigonometric Functions of 90° — 6. Figure 109 represents angles 6 and 9Q° — 6, when 6 is in each of the f oui quadrants.
What to read after Elementary Mathematical Analysis?
You can find similar books in the "Read Also" column, or choose other free books by John Wesley Young to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
90° ; 90° + re ■ ,360°.
20. cos2 9 + 5 sin 9 = 7.
176 MATHEMATICAL ANALYSIS [VI, § 119 21. 4 sin 9 — 8 CSC = 0.
22. 2 sin 6 cos' = sin 0.
23. cos 9 + sec 9 = |.
24. 2 sin 9 = tan 6. Ans. Particular solutions : 0°, 180°, 60°, 300°.
25. 3sin9 + 2cose = 2.
26. 2cos2 e - 1 = 1 - sin2 e .
120. The Trigonometric Functions of — 6. Draw the angles 6 and — 0, where OP is the terminal line of d and OP is the terminal line of — 6. Figure 108 shows an angle in each of 0^ FlQ. 108 'O X V X the four quadrant...s. We shall choose OP = OP' and {x, y) as the coordinates of P and (»', y') as the coordinates of P'. In all four figures x' = x, y' = — y, r' = r.
Hence sin(-e)=^ = ^^ = -sm0, cos (-6) =^ = -=003 6, r r Also, tan (- e) = ^ = -=:i^ = - tan ft x' X csc(— 0)= — cscfl; sec (— 6)= sec0; ctn(— 5) = — ctnft VI, § 121] TRIGONOMETRIC FUNCTIONS 177 121. The Trigonometric Functions of 90° — 6. Figure 109 represents angles 6 and 9Q° — 6, when 6 is in each of the f oui quadrants.
What to read after Elementary Mathematical Analysis?
You can find similar books in the "Read Also" column, or choose other free books by John Wesley Young to read onlineMoreLess
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