## Plane and Spherical Trigonometry |

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2d quadrant acute angle adapted to logarithmic angle xop base celestial horizon celestial sphere chord circle of latitude Circular Functions circular measure colog complement cos2 cosecant cosine cosqp cotangent ctn A ctn ctn qp deduced denote distance equation esc qp Example feet figures find the angle find the functions find the height following angles formulas four-place geometry given angle horizon Hyperbolic Functions hypothenuse increase of qp initial line IOOO,O less than 180 log ctn log esc log sin logarithmic computation meas miles negative obtained oc"b perp perpendicular Plane Trig positive Prove quad ratios right angle right triangle sec qp secant sin A sin sin qp sin2 sine and cosine solution solve spherical triangle straight line substituting tan2 tangent terminal line tions triangle of reference trigonometric functions vernal equinox