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Plane and spherical trigonometry (1887)

Wentworth, G. A. (George Albert), 1835-1906 · Boston, Ginn & company · leaf 18

An illustration from Plane and spherical trigonometry, 1887, leaf 18
n angle y such that, 15. siny = 2sina;. 17. tany = 3tana;. 16. cosy = -J cosx. 18. secy = csca;. 19. Show by construction that 2 sin A > sin 2 A. 20. Given two angles A and B (A -f- B being less than 90°) ,show that sin (A -f B) < sin A -f- sin B. 21. Given sin a; in a unit circle; find the… … § 3. CHANGES IN THE FUNCTIONS AS THE ANGLE CHANGES. If we suppose the A AOP, or x (Fig. 4) to increase gradu^ally by the revolution of the movingradius OP about 0, the point P willmove along the arc AB towards B,T will move along the tangent A Taway from A, S will move alongthe tangent BS towards…

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