Original
Recall
{{MATH_83}}
means that {{MATH_84}} and {{MATH_85}} with {{MATH_86}}. Implicitly
differentiating with respect {{MATH_87}} we see
{{ENV_88}}
While {{MATH_89}}, we need our
answer written in terms of {{MATH_90}}. Since we are assuming that
{{MATH_91}}
we may consider the following triangle:
{{CMD_92}}
{{ENV_93}}
{{CMD_94}}
We may now scale this triangle by a factor of {{MATH_95}} to place
it on the unit circle:
{{CMD_96}}
{{ENV_97}}
{{CMD_98}}
From the unit circle above, we see that
{{ENV_99}}
To be completely explicit,
{{MATH_100}}
{{CMD_101}}
{{CMD_102}}