## Elements of Trigonometry: Plane and Spherical |

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Adding adjacent angle or arc angled spherical triangle apply base becomes column comp complement compute considered Construct corresponding cosc cosec cosine cotangent cotx determine diameter Diff difference distance divided draw equal example EXERCISES extremes fall feet figure Finally Find the angles formula given gives greater hence hypotenuse increase known less less than 180 limit log cot log sin LOGARITHMIC FUNCTIONS manner means measuring method multiple Napier's natural negative oblique angle observe obtain opposite passing perpendicular plane triangle produce project the triangle quadrant radius readily relations represent respectively right angled triangle secant side similar sin a sin sin x sine solution solve the triangle species student subtract tan x tang tangent tion trigonometrical functions values whence

### Popular passages

Page 62 - What was the perpendicular height of a balloon, when its angles of elevation were 35° and 64°, as taken by two observers on the same level, at the same time, both on the same side of it, and in the same vertical plane ; the distance between the two observers being 880 yards ? Ans., 935.757 yards.

Page 94 - In a spherical triangle the cosine of any side is equal to the product of the cosines of the other two sides plus the product of the sines of these two sides and the cosine of their included angle.