Theory

The Law of Sines

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Angles of triangle

There is a triangle on the picture above with the following parameters:

  • Angle B = 35°, angle C = 105°, side b = 7;

  • Angle A and sides a and c are unknown.

Find the side c. You can find c using the law of sines. It states that if we divide side a by the sine of angle A, it will be equal to side b divided by the sine of angle B, and also equal to side c divided by the sine of angle C:

asin⁡(A)=bsin⁡(B)=csin⁡(C){a\over \sin(A)} = {b\over \sin(B)} = {c\over \sin(C)}

Import the modules you might need and print the answer rounded to 1 decimal place. Remember that math.sin(a) accepts a value in radians.

Write a program in Python 3
# put your code here
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