. A treatise on plane and spherical trigonometry, and its applications to astronomy and geodesy, with numerous examples . then the value of <£ can be found from the (i) EXAMPLES. 189 Thus, 5H1E = tan . smy ... smx-ainy = = tan (> - 45°) sin a; + sin ?/ tan + 1 [(14) of Art. 61]. ,\ tan ^ (x — y) = tan ^ (x + y) tan (<£ — 45°) [(13) of Art. 61]. = tan (45° - <£) tan \ (a + j8 + C) . (2) thns from (1) and (2) # and ?/ are fonnd. EXAMPLES. Solve the following right triangles : 1. Given a = , c = 150; find A=20°, B = 70°, 6= 2. Given a=, c=250; find
. A treatise on plane and spherical trigonometry, and its applications to astronomy and geodesy, with numerous examples . then the value of <£ can be found from the (i) EXAMPLES. 189 Thus, 5H1E = tan . smy ... smx-ainy = = tan (> - 45°) sin a; + sin ?/ tan + 1 [(14) of Art. 61]. ,\ tan ^ (x — y) = tan ^ (x + y) tan (<£ — 45°) [(13) of Art. 61]. = tan (45° - <£) tan \ (a + j8 + C) . (2) thns from (1) and (2) # and ?/ are fonnd. EXAMPLES. Solve the following right triangles : 1. Given a = , c = 150; find A=20°, B = 70°, 6= 2. Given a=, c=250; find A=39°, B=51°, 6= 3. Given a=104, c=185; find A=34°, B = 55° , 6=153. 4. Given a=304, c=425; find A=45°40 , B=44°, 6=297. 5. Given 6=3, c=5; find A=53° , B=36°, a=4. 6. Given 6 = 15, c=17; find A=28° , B = 61°, a=8. 7. Given 6 = 21, c=29; find A=43°, B=46°, a=20. 8. Given 6 = 7, c=25; find A=73°, B = 16° , a=24. 19C 1 PLANE TRIGONOMETRY. 9. Given 6=33, c=65; find A=59°, B=30°, a=56. 10. Given c=625, A=44°; find a=, 6= 11. Gi
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Keywords: ., bookcentury1900, bookdecade1900, booksubjecttrigono, bookyear1902
