The Essentials of Plane And Spherical Trigonometry

Cover The Essentials of Plane And Spherical Trigonometry
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Tlien, sin (co.c)= tan (co. ^1) tan (co. B), or cose = cot.l cot^.
4. For the check formula, the circular parts are a, b, and co. B; a is the middle part, and b and co. B are adjacent parts. Then, sin a — tan b tan (co. B) = tan b cot B.
151. lu solving spherical triangles, cnreful attention mnst be paid to the ah/ehraic signs of the functions ; the cosines, tangents, and cotangents of angles greater than 1)0° being taken negative.
It is convenient to place the sign of each function just above
...or below it. as illustrated in the examples of Art. lo3 ; the sisfn of the function in the first member beino- then deter- mined in accordance willi the i>rinciple that like signs pro- duce -h, and unlike signs produce — .
Note. In the examples after tlie first of Art. 153, the signs are omitted in every case wliere both factors of the second member are +.
152. In finding the angles corresponding, if the function is a cosine, tangent, or cotangent, its sign determines whether the angle is less or greater than 1)0° ; that is, if it is +, the angle is 90°, and the supplement of the acute angle obtained from the tables must be taken (Art.


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