Solution: a ≈ 7.97, b ≈ 12.44, C = 68°. User input: Spherical triangle: a=70°, b=80°, C=100°. Find c. Feature output:
Spherical law of cosines for sides: cos c = cos a * cos b + sin a * sin b * cos C cos c = cos70° cos80° + sin70° sin80° cos100°
b / sin B = c / sin C → b = (12 * sin 74°)/sin 68°. sin 74° = 0.9613 b = (11.5356)/0.9272 ≈ 12.44. Trigonometria plana y esferica de granville solucionario
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Step 2: Law of sines. a / sin A = c / sin C → a = (12 * sin 38°)/sin 68°. Solution: a ≈ 7
Given: A=38°, B=74°, c=12 (side opposite C). Step 1: Find C. C = 180° - (38°+74°) = 68°.
cos c = 0.0594 - 0.1606 = -0.1012
→ 0.9250 * (-0.1736) = -0.1606
