Original
Recall
{{MATH_7}}
means that {{MATH_8}} and {{MATH_9}}.
Implicitly differentiating with respect {{MATH_10}} we see
{{ENV_11}}
While {{MATH_12}}, we need our answer written
in terms of {{MATH_13}}. Since we are assuming that
{{MATH_14}}
consider the following triangle with the unit circle:
{{CMD_15}}
{{ENV_16}}
{{CMD_17}}
From the unit circle above, we see that
{{ENV_18}}
Recall, {{MATH_19}} on the interval {{MATH_20}}.{{CMD_21}}
To be completely explicit,
{{MATH_22}}
{{CMD_23}}
{{CMD_24}}