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  1. Prepare
  2. Python
  3. Math
  4. Find Angle MBC
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Find Angle MBC

  • jmauriciomejia1
     + 0 comments

    I had to refresh high school trigonometry.

    from math import sqrt, cos, acos, asin, sin, degrees

ab = float(input())
bc = float(input())

# Pythagoras theorem
ac = sqrt(ab**2 + bc**2)
mc = ac/2

# definition of cos and sin, delta is angle ACB
cos_delta = bc/ac
sin_delta = ab/ac

# law of cosines to find mb
mb = sqrt(bc**2 + mc**2 - 2*bc*mc*cos_delta)

# law of sines to find sin_theta
sin_theta = (mc*sin_delta)/mb

print(f"{round(degrees(asin(sin_theta)))}\N{DEGREE SIGN}")