I used the Sum-to-Product identities to express cot([α + β] / 2) as a ratio (i.e., difference of sine terms in the numerator and difference of cosine terms in the denominator).
In the equation y = x * cot([α + β] / 2), I substituted:
my ratio for the cotangent factor
your L * [sin(β) - sin(α)] for y
your L * [cos(α) - cos(β)] for x
Then, one division on each side finished it. :cool:
This site uses cookies to help personalise content, tailor your experience and to keep you logged in if you register.
By continuing to use this site, you are consenting to our use of cookies.