The book Plane Trigonometry was written by author R D Rosser Daniel Bohannan Here you can read free online of Plane Trigonometry book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Plane Trigonometry a good or bad book?
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/. Sin (-0) = - sin0, sin t-A°) = - sin A°. 63] THE SINE FAMILY. 97 (iii) Any angle of a terminal has the opposite sine of any angle of the opposite terminal. sin \ (2 n + 1) ir + 0\ = - sin (2 mir + 0), or, sin j (2 n + 1) 180° + A°\ = - sin A% where m, w are any positive or negative integers. -£*- "7 y s *t- y * -i y y o i l -+ -fe «^ * r i ? jzL ^f£ Fig. 26. ^ \ . 1/ iT\ Fig. 28. Fig. 29. X A ^■^^ ^^\ ''j -M ^ v ». ^2 ^"-^ ^^\^ ""• ^ ?- Fig. 27. 2j "* _5k ^ -S* *r- if - ^- — ~2 ::e. J .. -*:... ■ 4- ^ ■ ' "P -T *t (iv) Any angle of any terminal has the opposite sine of any angle of the terminal symmetric to the horizontal. sin (2 nir + 0) = — sin (2 mir — 0), sin (2 n • 180 + A°) = - sin (2 m 180° - A ), where m, w. Are any positive or negative integers. 98 PLANE TRIGONOMETRY. [§63 (v) Thus, while adding an angle in degree measure to an even multiple of 180° or subtracting it from any odd mul- tiple of 180° leaves the sine unchanged, the reverse changes the sign of the sine.
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